Question

Factorise: x2 + 6x + 8 Factorise : x2 - 11x + 24 Factorise : x2 + 5x - 6 Factorise : p2- 12p - 64 Factorise : y2 - 2y - 24

Answer 1

Step-by-step explanation:

${x}^{2} + 6x + 8 \\ = {x}^{2} + 4x + 2x + 8 \\ = x(x + 4) + 2(x + 4) \\ = (x + 2)(x + 4) \\ \\ {x}^{2} - 11x + 24 \\ = {x}^{2} - 8x - 3x + 24 \\ = x(x - 8) - 3(x - 8) \\ = (x - 3)(x - 8) \\ \\ {x}^{2} + 5x - 6 \\ = {x}^{2} + 6x - x - 6 \\ = x(x + 6) - 1(x + 6) \\ = (x - 1)(x + 6)$

${p}^{2} - 12p - 64 \\ = {p}^{2} - 16p + 4p - 64 \\ = p(p - 16) + 4(p - 16) \\ = (p + 4)(p - 16) \\ \\ {y}^{2} - 2y - 24 \\ = {y}^{2} - 6y + 4y - 24 \\ = y(y - 6) + 4(y - 6) \\ = (y + 4)(y - 6)$

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Answer 2

Step-by-step explanation:

x²+6x+8

x²+4x+2x+8

x(x+4) + 2(x+4)

(x+4)(x+2)

x²-11x+24

x²-3x-8x+24

x(x-3)-8(x-3)

x(x-3) - 8(x-3)

(x-3)(x-8)