Given:The given algebraic expression is $x^3(a-2b)+x^2(a-2b)$.To do:We have to factorize the expression $x^3(a-2b)+x^2(a-2b)$.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.Here, ... Read More

Given:The given algebraic expression is $-4(x-2y)^2+8(x-2y)$.To do:We have to factorize the expression $-4(x-2y)^2+8(x-2y)$.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.Here, ... Read More

Given:The given algebraic expression is $a(x-y)+2b(y-x)+c(x-y)^2$.To do:We have to factorize the expression $a(x-y)+2b(y-x)+c(x-y)^2$.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, ... Read More

Given:The given expressions are(i) $4x^2 - 12x + 7$(ii) $4x^2 - 20x + 20$To do:We have to find the term that must be added to each of the given expression to make it a whole square.Solution:The given expressions are (i) $4x^2 - 12x + 7$ (ii) $4x^2 - 20x + 20$. Here, ... Read More

Given:The given algebraic expression is $3a(x-2y)-b(x-2y)$.To do:We have to factorize the expression $3a(x-2y)-b(x-2y)$.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.Here, we ... Read More

Given:The given algebraic expression is $16(2l-3m)^2-12(3m-2l)$.To do:We have to factorize the expression $16(2l-3m)^2-12(3m-2l)$.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.Here, we ... Read More

Given:The given algebraic expression is $5(x-2y)^2+3(x-2y)$.To do:We have to factorize the expression $5(x-2y)^2+3(x-2y)$.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

Given:The given algebraic expression is $9a(6a-5b)-12a^2(6a-5b)$.To do:We have to factorize the expression $9a(6a-5b)-12a^2(6a-5b)$.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.Here, we ... Read More

Given:The given algebraic expression is $7a(2x-3)+3b(2x-3)$.To do:We have to factorize the expression $7a(2x-3)+3b(2x-3)$.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.Here, we ... Read More

Given:The given algebraic expression is $2r(y-x)+s(x-y)$.To do:We have to factorize the expression $2r(y-x)+s(x-y)$.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.Here, we ... Read More