Question

(5x + 3y)^3 – (5x – 3y)^3​

Answer 1

Step-by-step explanation:

$a^{3} +b^{3} +3ab(a+b)\\a^{3} -b^{3}-3ab(a-b)$

Therefore,

(5x + 3y)^3 – (5x – 3y)^3​ =

$[125x^{3}+27y^{3}+45xy(5x+3y)]-[125x^{3}-27y^{3}-45xy(5y-3y)]\\125x^{3}+27y^{3}+225yx^{2}+135xy^{2}-125x^{3}+27y^{3}+45xy(5y-3y)\\27y^{3}+225yx^{2}+135xy^{2}+27y^{3}+225yx^{2}-135xy^{2}\\27y^{3}+225yx^{2}+27y^{3}+225yx^{2}\\54y^{3}+450yx^{2}$

Answer 2

Step-by-step explanation:

(5x+3y)^3 - (5x-3y)^3

125x+27y - 125x+27y

27y + 27y

54y ANS