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Mathematics

Grade10

Easy

Question

Expand.
$left parenthesis 2 x plus y right parenthesis cubed$

$8 x^{3} - 12 x^{2} y + 6 x y^{2} - 7 y^{3}$
$4 x^{3} + 4 x^{2} y + 6 x y^{2} + y^{3}$
$8 x^{3} + 12 x^{2} y + 6 x y^{2} + y^{3}$
$8 x^{3} - 12 x^{2} y - 6 x y^{2} - y^{3}$

The correct answer is: $8 x cubed plus 12 x squared y plus 6 x y squared plus y cubed$

$left parenthesis 2 x plus y right parenthesis cubed$
using property :(a + b)³= a³ + 3a²b + 3ab² + b³

= (2x)³ + 3(2x)2y + 3(2x)y² + y³
= $8 x cubed plus 12 x squared y plus 6 x y squared plus y cubed$
$8 x cubed plus 12 x squared y plus 6 x y squared plus y cubed$

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