Question

Simplify :$(2x+3y)^{3} + (2x-3y)^{3}$

Answer 1

Answer:

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Step-by-step explanation:

answer is this plzzz like and follow

Answer 2

Solving (2x+3y)^3

Identity: (a+b)^3= a^3+ b^3 + 3a^2b + 3ab^2

=(2x)^3 + (3y)^3 +3(2x)^2(3y) + 3(2x)(3y)^2

=8x^3 + 27y^3 + 36yx^2 + 54xy^2

Now solving (2x-3y)^3

Identity: (a-b)^3= a^3+ b^3 - 3a^2b - 3ab^2

=(2x)^3 + (3y)^3 -3(2x)^2(3y) - 3(2x)(3y)^2

=8x^3 + 27y^3 - 36yx^2 - 54xy^2

Now solving (2x+3y)^3 + (2x-3y)^3

= 8x^3 + 27y^3 + 36yx^2 + 54xy^2+ 8x^3 + 27y^3 - 36yx^2 - 54xy^2

= 8x^3+ 8x^3 + 27y^3+ 27y^3

= 16x^3 + 54y^3