Question

Factories the following expression A2+8a+16

Answer 1

Step-by-step explanation:

${a}^{2} + 8a + 16 = {a}^{2} + (4 + 4)a + 16 \\ = {a}^{2} + 4a + 4a+ 16 \\ = a(a + 4) + 4(a + 4) \\ = (a + 4)(a + 4) \\ = {(a + 4)}^{2}$

or 2nd method:-

${a}^{2} + 8a + 16 \\ = {(a)}^{2} + 2 \times 4 \times a + {4}^{2} \\ comparing \: from \: formula \: \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2} \\ a = a. \: \: b = 4 \\ = {(a + 4)}^{2}$

Answer 2

Answer:

Step-by-step explanation:

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