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Allushta [10]
3 years ago
8

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

Mathematics
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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