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Chain Rule of Differentiation

State whether...

Question

State whether the statement is True or False.
Expand: $(x + 5 y)^{3}$ is equal to $x^{3} + 15 x^{2} y + 75 x y^{2} + 125 y^{3}$ .

A

True

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B

False

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Solution

The correct option is A True
${(a + b)}^{3} = a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2} (x + 5 y)^{3} = x^{3} + 125 y^{3} + 15 x^{2} y + 75 x y^{2}$

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