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Akhileshwar Nani has Published 204 Articles
Akhileshwar Nani
122 Views
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
Akhileshwar Nani
53 Views
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
Akhileshwar Nani
75 Views
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
Akhileshwar Nani
72 Views
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
Akhileshwar Nani
82 Views
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
Akhileshwar Nani
56 Views
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
Akhileshwar Nani
74 Views
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
Akhileshwar Nani
32 Views
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
Akhileshwar Nani
48 Views
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
Akhileshwar Nani
123 Views
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