Question

(a+3) (a-3) (a^2+a)​

Answer 1

Question

$\bf{(a + 3)(a - 3)(a {}^{2} + a)}$

Answer

$➪ \bf\: a( {a}^{3} + {a}^{2} - 9a - 9)$

Step by Step solution

$\bf{(a + 3)(a - 3)(a {}^{2} + a)}$

␈$➪\bf{on \: using \: identity } \\\bf {\: x { }^{2} - y {}^{2} = (x + y)(x - y)}$

$➪\bf{(a {}^{2} - 3 {}^{2}) (a {}^{2} + a)}$

$➪\bf(a {}^{2} - 9)(a {}^{2} + a)$

$➪\bf{a {}^{2} \times (a {}^{2} + a) - 9\times (a {}^{2} + a)}$

$➪\bf{a {}^{4} + {a}^{3} - 9a {}^{2} - 9a}$

$➪ \bf\: a( {a}^{3} + {a}^{2} - 9a - 9)$

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