Question

Expend (1) (a+2)(a-1) (2) m-4 (m+6)​

Answer 1

Question :-

Expend (1) (a+2)(a-1) (2) m-4 (m+6)

Solution :-

$\rm{(1) \: (a + 2)(a - 1)}$

$\rm:\longmapsto{a(a - 1) + 2(a - 1)} \\ \\ \rm:\longmapsto{a {}^{2} - a + 2a - 2 } \: \: \: \: \: \: \\ \\ \rm:\longmapsto{a {}^{2} + a - 2} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\bf:\longmapsto \red {(a + 2)(a - 1) = a {}^{2} + a - 2 }$

$\rm{(2) \: (m - 4)(m + 6)}$

$\rm:\longmapsto{ m(m + 6) - 4(m + 6)} \\ \\ \rm:\longmapsto{m {}^{2} + 6m - 4m - 24} \: \: \\ \\ \rm:\longmapsto{m {}^{2} + 2m - 24} \: \: \: \: \: \: \: \: \: \: \: \:$

$\bf:\longmapsto \red{(m - 4)(m + 6) = m {}^{2} + 2m - 24}$

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Answer 2

Step-by-step explanation:

1. The answer is.
2. ${a}^{2} + a - 2$
3. The answer is.
4. $- 3m - 24$