How do you simplify $\frac{x^{2} + 2 x - 35}{x^{2} + 4 x - 21} \cdot \frac{x^{2} + 3 x - 18}{x^{2} + 9 x + 18}$ $(x^2+2x-35)/ (x^2+4x-21) * (x^2+3x-18)/(x^2+9x+18)$ ?

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How do you simplify $\frac{x^{2} + 2 x - 35}{x^{2} + 4 x - 21} \cdot \frac{x^{2} + 3 x - 18}{x^{2} + 9 x + 18}$ $(x^2+2x-35)/ (x^2+4x-21) * (x^2+3x-18)/(x^2+9x+18)$ ?

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Answer 1 · 2015-07-25T22:22:11

Simplify quadratic expression f(x)

Ans: $\frac{x - 5}{x + 3}$ $(x - 5)/(x + 3)$

Explanation:

First factor all the trinomials:
$(x^{2} + 2 x - 35) = (x - 5) (x + 7)$ $(x^2 + 2x - 35) = (x - 5)(x + 7)$ ; $(x^{2} + 3 x - 18) = (x - 3) (x + 6)$ $(x^2 + 3x - 18) = (x - 3)(x + 6)$

$(x^{2} + 4 x - 21) = (x + 7) (x - 3)$ $(x^2 + 4x - 21) = (x + 7)(x - 3)$ ; $(x^{2} + 9 x + 18) = (x + 3) (x + 6)$ $(x^2 + 9x + 18) = (x + 3)(x + 6)$

$f (x) = \frac{(x - 5) (x + 7)}{(x + 7) (x - 3)} . \frac{(x - 3) (x + 6)}{(x + 3) (x + 6)}$ $f(x) = ((x - 5)(x + 7))/((x + 7)(x - 3)).((x - 3)(x +6))/((x + 3)(x + 6))$ =

$= \frac{x - 5}{x + 3}$ $= (x - 5)/(x + 3)$

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How do you simplify $\frac{x^{2} + 2 x - 35}{x^{2} + 4 x - 21} \cdot \frac{x^{2} + 3 x - 18}{x^{2} + 9 x + 18}$ $(x^2+2x-35)/ (x^2+4x-21) * (x^2+3x-18)/(x^2+9x+18)$ ?

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Explanation:

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How do you simplify x2+2x−35x2+4x−21⋅x2+3x−18x2+9x+18(x^2+2x-35)/ (x^2+4x-21) * (x^2+3x-18)/(x^2+9x+18)?

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How do you simplify $\frac{x^{2} + 2 x - 35}{x^{2} + 4 x - 21} \cdot \frac{x^{2} + 3 x - 18}{x^{2} + 9 x + 18}$ $(x^2+2x-35)/ (x^2+4x-21) * (x^2+3x-18)/(x^2+9x+18)$ ?