Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$

Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$

Answers

$\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$

Factorize numerator

2x² - 3xy – 2y²

(2x² + xy)(4xy – 2y²)

X(2x + y) -2y(2x + y)

= (x – 2y)(2x + y)

Factorize denominator

4x² - y² = (2x - y)(2x + y)

Combine numerator and denominator to get

$\frac{(x – 2y)(2x + y)}{(2x + y)(2x - y)}$ = $\frac{(x – 2y)}{(2x - y)}$

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johnmulu answered the question on March 6, 2017 at 07:13

Next: Solve the following equation for x ($\frac{5}{6}$)^{x + 1} = ($\frac{216}{125}$)^{2x + 3}
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