Factorise the following1) x^2 + 7x + 102) x^2 – 16x + 393) x^2 – 9

1.	Factorise the following1) x^2 + 7x + 102) x^2 – 16x + 393) x^2 – 9x – 364) x^2 + 2x – 48
Answer» Answer: $\huge\underline\bold {Answer:}$ 1) x^2 + 7X + 10 $= {x}^{2} + 5x + 2x + 10 \\ = x(x + 5) + 2(x + 5) \\ = (x + 5)(x + 2)$ 2) x^2 – 16X + 39 ${x}^{2} - 16x + 39 \\ = {x}^{2} - 13x - 3x + 39 \\ =x(x - 13) - 3(x - 13) \\ = (x - 3)(x - 13)$ 3) x^2 – 9x – 36 ${x}^{2} - 12x + 3x - 36 \\ = x(x - 12) + 3(x - 13) \\ = (x - 12)( x - 3)$ 4) x^2 + 2x – 48 $= {x}^{2} + 8x - 6x - 48 \\ = x(x + 8) - 6(x + 8) \\ = (x - 6)(x + 8)$