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3 years ago

8

I don't understand this factorisation a2+ 4a+3

1 answer:

Tomtit [17]3 years ago

7 0

Answer:

$\boxed{\sf (a + 3)(a + 1)}$

Step-by-step explanation:

$\sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 4a + 3 \\ \\ \sf The \: factors \: of \: 3 \: that \: sum \: to \: 4 \\ \sf are \: 3 \: and \: 1. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 + 1)a + 3 \\ \\ \sf \implies {a}^{2} + 3a + a + 3 \\ \\ \sf \implies a(a + 3) + 1(a + 3) \\ \\ \sf \implies (a + 3)(a + 1)$

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