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Akhileshwar Nani has Published 204 Articles
Akhileshwar Nani
69 Views
Given:The given expression is $16(2x-1)^2-25y^2$.To do:We have to factorize the expression $16(2x-1)^2-25y^2$.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.$16(2x-1)^2-25y^2$ can ... Read More
Akhileshwar Nani
136 Views
Given:The given expression is $x^4-1$.To do:We have to factorize the expression $x^4-1$.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.$x^4-1$ can ... Read More
Akhileshwar Nani
103 Views
Given:The given algebraic expression is $x^4-625$.To do:We have to factorize the expression $x^4-625$.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.$x^4-625$ ... Read More
Akhileshwar Nani
115 Views
Given:The given expression is $a^4b^4-16c^4$.To do:We have to factorize the expression $a^4b^4-16c^4$.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.$a^4b^4-16c^4$ can ... Read More
Akhileshwar Nani
89 Views
Given:The given algebraic expression is $3x^3y-243xy^3$.To do:We have to factorize the expression $3x^3y-243xy^3$.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.$3x^3y-243xy^3$ ... Read More
Akhileshwar Nani
106 Views
Given:The given expression is $p^2q^2-p^4q^4$.To do:We have to factorize the expression $p^2q^2-p^4q^4$.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.$p^2q^2-p^4q^4$ can ... Read More
Akhileshwar Nani
147 Views
Given:The given algebraic expression is $(3x+4y)^4-x^4$.To do:We have to factorize the expression $(3x+4y)^4-x^4$.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.$(3x+4y)^4-x^4$ ... Read More
Akhileshwar Nani
121 Views
Given:The given algebraic expression is $\frac{1}{16}x^2y^2-\frac{4}{49}y^2z^2$.To do:We have to factorize the expression $\frac{1}{16}x^2y^2-\frac{4}{49}y^2z^2$.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.$\frac{1}{16}x^2y^2-\frac{4}{49}y^2z^2$ ... Read More
Akhileshwar Nani
154 Views
Given:The given expression is $(x+y)^2-(a-b)^2$.To do:We have to factorize the expression $(x+y)^2-(a-b)^2$.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.Here, we ... Read More
Akhileshwar Nani
110 Views
Given:The given algebraic expression is $(3+2a)^2-25a^2$.To do:We have to factorize the expression $(3+2a)^2-25a^2$.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.$(3+2a)^2-25a^2$ ... Read More