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Akhileshwar Nani has Published 204 Articles
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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
Akhileshwar Nani
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