What is (4k^2-12k+9)/(2k^2+19k-33)*(k^2+8k-33)/(k^2-3k) ?

The solution to (4k^2-12k+9)/(2k^2+19k-33)*(k^2+8k-33)/(k^2-3k) is (2k-3)/k

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simplify (4k^2-12k+9)/(2k^2+19k-33)*(k^2+8k-33)/(k^2-3k)

simplify

\frac{4 k ^{2} - 12 k + 9}{2 k ^{2} + 19 k - 33} \cdot \frac{k ^{2} + 8 k - 33}{k ^{2} - 3 k}

\frac{2 k - 3}{k}

Solution steps

\frac{4 k ^{2} - 12 k + 9}{2 k ^{2} + 19 k - 33} \cdot \frac{k ^{2} + 8 k - 33}{k ^{2} - 3 k}

Cancel

\frac{4 k ^{2} - 12 k + 9}{2 k ^{2} + 19 k - 33} : \frac{2 k - 3}{k + 11}

= \frac{2 k - 3}{k + 11} \cdot \frac{k ^{2} + 8 k - 33}{k ^{2} - 3 k}

Cancel

\frac{k ^{2} + 8 k - 33}{k ^{2} - 3 k} : \frac{k + 11}{k}

= \frac{2 k - 3}{k + 11} \cdot \frac{k + 11}{k}

Cross-cancel common factor:

k + 11

= \frac{2 k - 3}{k}

- - 2

\frac{- 3}{2}

(x - 1)^{- 1}

2 - 5 x \geq - 9

∣ 2 x - 7 ∣ \leq 13

What is (4k^2-12k+9)/(2k^2+19k-33)*(k^2+8k-33)/(k^2-3k) ?
The solution to (4k^2-12k+9)/(2k^2+19k-33)*(k^2+8k-33)/(k^2-3k) is (2k-3)/k