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2 years ago

Simplify completely (6x² - 54x + 84 / 8x² -40 x +48) ÷ (x² + x - 56 / 2x² + 12x -32)

Mathematics

1 answer:

VladimirAG [237]2 years ago

4 0

Answer:

The answer to your question is $\frac{3(x - 2)}{2(x - 3)}$ or $\frac{3x - 6}{2x - 6}$

Step-by-step explanation:

Expression $\frac{6x^{2}- 54x + 84}{8x^{2} - 40x + 48} / \frac{ x^{2} + x - 56}{2x^{2} + 12x - 32}$

Process

1.- Change the division to a multiplication

$\frac{6x^{2}- 54x + 84}{8x^{2} - 40x + 48} x \frac{2x^{2}+ 12x - 32}{x^{2} + x - 56}$

2.- Factor

$\frac{6(x^{2}- 9x - 14)}{8(x^{2} - 5x + 6)} x \frac{2(x^{2}+ 6x - 16)}{(x^{2} + x -56)}$

$\frac{6(x + 8)(x - 2)}{8(x - 3)(x - 2)} x \frac{2(x + 8)(x - 2)}{(x + 8)(x - 7)}$

3.- Simplify (cancel the terms that are repeated in both numerator and denominator)

$\frac{2(6)(x - 2)}{8(x - 3)}$

$\frac{3(x - 2)}{2(x - 3)}$ or $\frac{3x - 6}{2x - 6}$

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${\red\star}\:{\underline{\underline{\mathfrak{\purple{hello}}}}}\:{\red\star}$

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Step-by-step explanation:

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Step-by-step explanation:

The distance between two points can be found by using the formula

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From the question the points are

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