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(x±a)(x±b) = x²±(a+b)x+ab.

State True or...

Question

State True or False:
$(3 x + 4) (3 x - 5)$ $= 9 x^{2} - 3 x - 20$

A

True

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B

False

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Solution

The correct option is A True
$(3 x + 4) (3 x - 5) = 9 (x + \frac{4}{3}) (x - \frac{5}{3})$
$= 9 [x^{2} + (\frac{4}{3} - \frac{5}{3}) x + (\frac{4}{3}) (- \frac{5}{3})]$
$= 9 (x^{2} - \frac{1}{3} x - \frac{20}{9})$
$= 9 x^{2} - 3 x - 20$

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