Simplify the following expression completely

Simplify the following expression completely
$\frac{2x^2\, - \,98}{3x^2\, - \,+ \,5x\, - \,35} \div \frac{x\, + \,7}{3x\, + \,5}$

Answers

Factorise 2x² - 98

= 2(x² - 49)

Factorise

=(3x² - 21x) + (5x - 35)

= 3x(x - 7) + 5(x - 7)

=(3x + 5)(x - 7)

Therefore $\frac{2(x - 7)(x + 7)}{(3x + 5)(x - 7)} \times \frac{(3x + 5)}{(x + 7)}$

By cancelling out the like terms, you get

$\frac{2(x - 7)}{3x + 5}$

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raphael answered the question on January 24, 2017 at 06:10

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