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Multiplication of Binomial by a Binomial

State whether...

Question

State whether the statement is True or False.
Evaluate: $(5 x y - 7) (7 x y + 9)$ is equal to $35 x^{2} y^{2} - 4 x y - 63$ .

A

True

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B

False

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Solution

The correct option is A True
$(5 x y - 7) (7 x y + 9) = 5 x y \times (7 x y + 9) - 7 \times (7 x y + 9) = 35 x^{2} y^{2} + 45 x y - 49 x y - 63 = 35 x^{2} y^{2} - 4 x y - 63$

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