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9 January, 16:41

Simplify quantity 4 x squared plus 12 x minus 16 all over quantity 2x plus 10 over quantity 6 x plus 24 over quantity x squared plus 9x plus 20.

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  1. 9 January, 17:10
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    In this item, we are to simplify the following expressions,

    (4x² + 12x - 16) / (2x + 10) : (6x + 24) / (x² + 9x + 20)

    We can transform the expression such that instead of division, the operation involved now will be multiplication by interchanging the numerator and denominator of the second expression,

    (4x² + 12x - 16) / (2x + 10) x (x² + 9x + 20) / (6x + 24)

    We factor out both the numerator and denominator of the expressions,

    (x + 4) (x - 1) (4) / (2) (x + 5) x (x + 5) (x + 4) / (6) (x + 4)

    Then, we cancel the like terms which appears in both numerator and denominator and we will be left with,

    (2) (x + 4) (x - 1)

    2 (x² + 3x - 4)

    2x² + 6x - 8
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