Question

Simplify: ( x² − 3) ( x + 2) + 6 *
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Answer 1

x(x + 3)(x - 1)

Step by Step :::

= (x² - 3)(x + 2) + 6

= x(x² - 3) + 2(x² - 3) + 6

= x³ - 3x + 2x² - 6 + 6

= x³ + 2x² - 3x

= x(x² + 2x - 3)

= x(x² + 3x - x - 3)

= x{x(x + 3) - 1(x + 3)}

= x(x + 3)(x - 1)