Expand the following $(- 2 x + 5 y)^{3}$

8 x^{3} - 125 y^{3} + 60 x^{2} y - 150 x y^{2}

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- 8 x^{3} + 125 y^{3} - 60 x^{2} y - 150 x y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 8 x^{3} - 125 y^{3} + 60 x^{2} y - 150 x y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 8 x^{3} + 125 y^{3} + 60 x^{2} y - 150 x y^{2}

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Solution

The correct option is A $- 8 x^{3} + 125 y^{3} + 60 x^{2} y - 150 x y^{2}$
$(- 2 x + 5 y)^{3}$
using the formula, $(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$
$= (- 2 x)^{3} + (5 y)^{3} + 3 \times (- 2 x) \times (5 y) (- 2 x + 5 y)$
$= - 8 x^{3} + 125 y^{3} + 60 x^{2} y - 150 x y^{2}$

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