Given:The given algebraic expression is $6x(2x-y)+7y(2x-y)$.To do:We have to factorize the expression $6x(2x-y)+7y(2x-y)$.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

Given:The given expression is $ax^2y+bxy^2+cxyz$.To do:We have to factorize the expression $ax^2y+bxy^2+cxyz$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms ... Read More

Given:The given expression is $x^2yz+xy^2z+xyz^2$.To do:We have to factorize the expression $x^2yz+xy^2z+xyz^2$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms ... Read More

Given:The given expression is $-4a^2+4ab-4ca$.To do:We have to factorize the expression $-4a^2+4ab-4ca$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms ... Read More

Given:The given expression is $16m-4m^2$.To do:We have to factorize the expression $16m-4m^2$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms ... Read More

Given:The given expression is $9x^2y+3axy$.To do:We have to factorize the expression $9x^2y+3axy$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms ... Read More

Given:The given expression is $x^4y^2 - x^2y^4 - x^4y^4$.To do:We have to factorize the expression $x^4y^2 - x^2y^4 - x^4y^4$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of ... Read More

Given:The given expression is $2l^2mn - 3lm^2n + 4lmn^2$.To do:We have to factorize the expression $2l^2mn - 3lm^2n + 4lmn^2$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of ... Read More

Given:(i) $(x - y) (x + y) (x^2 + y^2) (x^4 + y^4)$(ii) $(2x - 1) (2x + 1) (4x^2 + 1) (16x^4 + 1)$(iii) $(7m - 8n)^2 + (7m + 8n)^2$(iv) $(2.5p - 1.5q)^2 - (1.5p - 2.5q)^2$(v) $(m^2 - n^2m)^2 + 2m^3n^2$To do:We have to simplify the given ... Read More

Given:The given expression is $a^4b - 3a^2b^2 - 6ab^3$.To do:We have to factorize the expression $a^4b - 3a^2b^2 - 6ab^3$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of ... Read More