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Mathematical Operators

State whether...

Question

State whether True or False.
Multiply: $5 x^{2} - 8 x y + 6 y^{2} - 3$ by $- 3 x y$ .
The answer is $- 15 x^{3} y + 24 x^{2} y^{2} - 18 x y^{3} + 9 x y$ .

A

True

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B

False

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Solution

The correct option is A True
$(5 x^{2} - 8 x y + 6 y^{2} - 3) \times (- 3 x y)$
$= (5 x^{2}) (- 3 x y) - (8 x y) (- 3 x y) + 6 y^{2} (- 3 x y) - 3 (- 3 x y)$
$= - 15 x^{3} y + 24 x^{2} y^{2} - 18 x y^{3} + 9 x y$

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