b b (5x + 2y)3 – (5x – 2y)3
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Step-by-step explanation:
( 5x + 2y ) ^3 - ( 5x - 2y )^3
=[ ( 5x + 2y ) - ( 5x - 2y ) ] [ ( 5x + 2y ) ^2 + ( 5x -2y )^2 + ( 5x +2 y ) ( 5x - 2y ) ]
= [ 5x + 2y - 5x +2y ] [ 25 x^2 +4y^2 +20xy ) +( 25x^2 + 4x^2 - 20xy) + ( 25x^2 - 4y^2) ]
= (4y ) [ 25x^2 + 4y^2 +20 xy + 25 x^2 +4y^2 - 20xy ] [ 25X^2 -4y^2 ]
= 4y [ 50x^2 +8y^2 +25 x^2 - 4y^2 ]
= 4y [ 25x^2 - 4 y^2]
4y ( 5x^2 -2y^2)
4y ( 5x -2y ) ( 5x +2y )
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