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Mathematics

Grade10

Easy

Question

What is the product of $left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis$ ?

$9 x^{4} - 24 x^{2} y - 16 y^{2}$
$3 x^{2} - 4 y^{2}$
$9 x^{4} - 16 y^{2}$
$3 x^{2} + 14 x^{2} y - 4 y$

The correct answer is: $9 x to the power of 4 – 16 y squared$

Using the pattern $left parenthesis a plus b right parenthesis left parenthesis a – b right parenthesis equals a squared – b squared comma$
$left parenthesis 3 x squared – 4 y right parenthesis left parenthesis 3 x squared plus 4 y right parenthesis equals left parenthesis 3 x squared right parenthesis squared – left parenthesis 4 y right parenthesis squared equals 9 x to the power of 4 – 16 y squared$

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