Question

1. if (3 7/12)²-(2 5/12)²=A and B = (3.2) - (1.8), then A² + B² + 2AB =
1)14²
2) 16²
3) 12²
4) 18²​

Answer 1

Answer:

14²

Step-by-step explanation:

$a = {(3 \frac{7}{12}) }^{2} - {(2 \frac{5}{12} )}^{2} \\ = {( \frac{43}{12}) }^{2} - {( \frac{29}{12} )}^{2} \\ = \frac{1849}{144} - \frac{841}{144} \\ = \frac{1849 - 841}{144} \\ = \frac{1008}{144} \\ a= 7 \\ \\ b = {(3.2)}^{2} - {(1.8)}^{2} \\ = 10.24 - 3.24 \\ b = 7 \\ \\ substituting \: a \: and \: b \: in \: {a}^{2} + {b}^{2} + 2ab \\ {7}^{2} + {7}^{2} + 2(7)(7) \\ it \: is \: in \: {(a + b)}^{2} form \\ = {(7 + 7)}^{2} \\ = {14}^{2}$

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