Question

3. Factorise the following expressions.
(a) x2 + 8x + 16 (b) p2 - 10p + 25​

Answer 1

Step-by-step explanation:

A}. x2 + 8x + 16

= 26 x

26 is the answer

B}. P2 - 10 + 25

= 17 p

17 is the answer

I hope it may help to you..

Answer 2

$\huge\underline\mathtt\red{Answer}$

$\huge 1)$

${x}^{2} + 8x + 16 = 0 \\ {x}^{2} + 4x + 4x + 16 = 0 \\ x(x + 4) + 4(x + 4) = 0 \\ (x + 4)(x + 4) = 0 \\ x + 4 = 0 \: \: \: \: \: \: \: \: \: x + 4 = 0 \\ x = - 4 \: \: \: \: \: \: \: \: \: \: x = - 4$

$\huge 2)$

${p}^{2} - 10p + 25 = 0 \\ {p}^{2} - 5p - 5p + 25 = 0 \\ p(p - 5) - 5(p - 5) = 0 \\ (p - 5)(p - 5) = 0 \\ p - 5 = 0 \: \: \: \: \: \: \: \: \: p - 5 = 0 \\ p = 5 \: \: \: \: \: \: \: \: \: p = 5$