State whether the statement is True or False.
$(5 x + 3 y)^{3}$ is equal to $125 x^{3} + 225 x^{2} y + 135 x y^{2} + 27 y^{3}$ .

True

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False

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Solution

The correct option is A True
${(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2} (5 x + 3 y)^{3} = 125 x^{3} + 27 y^{3} + 135 x y^{2} + 225 x^{2} y$
$= 125 x^{3} + 225 x^{2} y + 135 x y^{2} + 27 y^{3}$ .
The given statement is true.

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