Question
Solve:
$ 49-a^2+8 a b-16 b^2 $
$ 49-a^2+8 a b-16 b^2 $
✓
Answer
$ 49-a^2+8 a b-16 b^2 $
$ =49-\left(a^2-8 a b+16 b^2\right) $
$ =49-\left[a^2-2 \times a \times 4 b+\left(4 b^2\right)\right] $
$ =7^2-\left(a-4 b^2\right) $
$ =[7-(a-4 b)[7+(a-4 b)] $
$ =(7-a+4 b)(7+a-4 b) $
$ =-(a-4 b-7)(a-4 b+7) $
$ =-(a-4 b+7)(a-4 b-7) $
$ =49-\left(a^2-8 a b+16 b^2\right) $
$ =49-\left[a^2-2 \times a \times 4 b+\left(4 b^2\right)\right] $
$ =7^2-\left(a-4 b^2\right) $
$ =[7-(a-4 b)[7+(a-4 b)] $
$ =(7-a+4 b)(7+a-4 b) $
$ =-(a-4 b-7)(a-4 b+7) $
$ =-(a-4 b+7)(a-4 b-7) $
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→Multiply the following
(i) $-7 \text{p} \text{q}^2 \text{r}^3,-26 \text{p}^3 \text{q} \text{r}^2$
(ii) $-5 \text{a} \text{b} \text{c}^2, 11 \text{a} \text{b}^2, 13 \text{a}^2 \text{b} \text{c}$
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(ii) $-5 \text{a} \text{b} \text{c}^2, 11 \text{a} \text{b}^2, 13 \text{a}^2 \text{b} \text{c}$