Question

factorise the following by splitting the middle term.
but only middle term.

I will give 25 thanks plus follow.​

Answer 1

these are rhe answers for your questions

Answer 2

Step-by-step explanation:

$a) \: \: {x}^{2} - x - 2$

${x}^{2} - 2x + x - 2$

$x(x - 2) + 1(x - 2)$

$(x - 2)(x + 1)$

$b) {p}^{2} + 12p + 35$

${p}^{2} + 7p + 5p + 35$

$p(p + 7) + 5(p + 7)$

$(p + 7)(p + 5)$

$c) {z}^{2} - 3z - 54$

${z}^{2} - 9z + 6z - 54$

$z(z - 9) + 6(z - 9)$

$(z - 9)(z + 6)$

$d) {s}^{2} + 11s + 30$

${s}^{2} + 5s + 6s + 30$

$s(s + 5) + 6(s + 5)$

$(s + 5)(s + 6)$

$e)2 {b}^{2} + 32b + 128$

Here in above three terms 2 are common

so this can be written as

${b}^{2} + 16b + 64$

${b}^{2} + 8b + 8b + 64$

$b(b + 8) + 8(b + 8)$

$(b + 8)(b + 8)$

$f) {p}^{2} + 8p - 84$

${p}^{2} + 14p - 6p - 84$

$p(p + 14) - 6(p + 14)$

$(p + 14)(p - 6)$