Akhileshwar Nani has Published 204 Articles

Factorize the following algebraic expressions:
(i) $a^2+4ab+3b^2$
(ii) $96-4x-x^2$
(iii) $a^4+3a^2+4$

Akhileshwar Nani

Akhileshwar Nani

Updated on 10-Apr-2023 22:38:57

93 Views

Given:The given expressions are:(i) $a^2+4ab+3b^2$.(ii) $96-4x-x^2$(iii) $a^4+3a^2+4$To do:We have to factorize the given algebraic expressions.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime ... Read More

Factorize the following algebraic expressions:
(i) $16-a^6+4a^3b^3-4b^6$
(ii) $a^2-2ab+b^2-c^2$
(iii) $x^2+2x+1-9y^2$

Akhileshwar Nani

Akhileshwar Nani

Updated on 10-Apr-2023 22:38:09

82 Views

Given:The given expressions are:(i) $16-a^6+4a^3b^3-4b^6$.(ii) $a^2-2ab+b^2-c^2$(iii) $x^2+2x+1-9y^2$To do:We have to factorize the given algebraic expressions.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime ... Read More

Factorize the algebraic expression $9a^4-24a^2b^2+16b^4-256$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 10-Apr-2023 22:36:24

178 Views

Given:The given expression is $9a^4-24a^2b^2+16b^4-256$.To do:We have to factorize the algebraic expression $9a^4-24a^2b^2+16b^4-256$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$9a^4-24a^2b^2+16b^4-256$ ... Read More

Factorize the algebraic expression $9z^2-x^2+4xy-4y^2$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 10-Apr-2023 22:34:37

111 Views

Given:The given algebraic expression is $9z^2-x^2+4xy-4y^2$.To do:We have to factorize the expression $9z^2-x^2+4xy-4y^2$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression means writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$9z^2-x^2+4xy-4y^2$ ... Read More

Factorize the algebraic expression $a^2+2ab+b^2-16$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 10-Apr-2023 22:34:02

122 Views

Given:The given expression is $a^2+2ab+b^2-16$.To do:We have to factorize the algebraic expression $a^2+2ab+b^2-16$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$a^2+2ab+b^2-16$ ... Read More

Factorize the algebraic expression $36a^2+36a+9$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 10-Apr-2023 22:33:40

74 Views

Given:The given algebraic expression is $36a^2+36a+9$.To do:We have to factorize the expression $36a^2+36a+9$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression means writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$36a^2+36a+9$ ... Read More

Factorize the algebraic expression $p^2q^2-6pqr+9r^2$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 09-Apr-2023 09:26:56

97 Views

Given:The given expression is $p^2q^2-6pqr+9r^2$.To do:We have to factorize the algebraic expression $p^2q^2-6pqr+9r^2$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$p^2q^2-6pqr+9r^2$ ... Read More

Factorize the algebraic expression $9a^2-24ab+16b^2$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 09-Apr-2023 09:26:09

85 Views

Given:The given algebraic expression is $9a^2-24ab+16b^2$.To do:We have to factorize the expression $9a^2-24ab+16b^2$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression means writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$9a^2-24ab+16b^2$ ... Read More

Factorize the expression $18a^2x^2-32$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 09-Apr-2023 09:24:59

148 Views

Given:The given expression is $18a^2x^2-32$.To do:We have to factorize the expression $18a^2x^2-32$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression means writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$18a^2x^2-32$ can ... Read More

Factorize the expression $x^3-x$.

Akhileshwar Nani

Akhileshwar Nani

Updated on 09-Apr-2023 09:23:53

122 Views

Given:The given algebraic expression is $x^3-x$.To do:We have to factorize the expression $x^3-x$.Solution:Factorizing algebraic expressions:Factorizing an algebraic expression implies writing the expression as a product of two or more factors. Factorization is the reverse of distribution. An algebraic expression is factored completely when it is written as a product of prime factors.$x^3-x$ ... Read More

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