Question

Expand (2x+5y)^3 by using suitable identity

Answer 1

Answer:

Identity to be used is ( a + b )^3 = a^3 + b^3 + 3ab( a + b ).

Comparing with question: a = 2x and b = 5y

So,

( 2x + 5y )^3

= > ( 2x )^3 + ( 5y )^3 + 3( 2x*5y )( 2x + 5y )

= > 8x^3 + 125y^3 + 30xy( 2x + 5y )

= > 8x^3 + 125y^3 + 60x^2y + 150xy^2

Henceforth, using (a+b)^3 = a^3 + b^3 + 3ab( a + b ), ( 2x +5y )^3 = 8x^3 + 125y^3 + 60x^2y + 150xy^2

Answer 2

Answer:

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