Question

Factorise the following expressions.
3.
x² + x-72
2. y2-y-6
1. x2 + 14x + 33
6.
x2 + 11x +30
5. y2 + y - 132
4. x2 + 12x + 27
8. z2 - 122 + 27
9.
p2 – 5p - 6
7. x² - 11x-42
11. x2 - 8x - 65
12.
x2 + 8x + 15
10. pP+p - 56
14.
x² – 3x - 54
15.
a- 70 +12
13. x2 + 2x - 24
16. p2 - 3p9 + 2q?​

Answer 1

Answer:

x²+x-72

=x²-8x+9x-72

=(x²-8x)+(9x-72)

=x(x-8)+9(x-8)

=(x-8)(x+9)

y²-y-6

=y²-3y+2y-6

=(y²-3y)+(2y-6)

=y(y-3)+2(y-3)

=(y-3)(y+2)

x²+14x+33

=x²+3x+11x+33

=(x²+3x)+(11x+33)

=x(x+3)+11(x+3)

=(x+3)(x+11)

x²+11x+30

=x²+6x+5x+30

=(x²+6x)+(5x+30)

=x(x+6)+5(x+6)

=(x+6)(x+5)

y²+ y-132

=y²-11y+12y-132

=(y²-11y)+(12y-132)

=y(y-11)+12(y-11)

=(y-11)(y+12)

x²+12x+27

=x²+9x+3x+27

=(x²+9x)+(3x+27)

=x(x+9)+3(x+9)

=(x+9)(x+3)

x²-11x-42

=x²-14x+3x-42

=(x²-14x)+(3x-42)

=x(x-14)+3(x-14)

=(x-14)(x+3)

x²-8x-65

=x²-13x+5x-65

=(x²-13x)+(5x-65)

=x(x-13)+5(x-13)

=(x-13)(x+5)

x²+8x+15

=x²+3x+5x+15

=(x²+3x)+(5x+15)

=x(x+3)+5(x+3)

=(x+3)(x+5)

x²-3x-54

=x²-9x+6x-54

=(x²-9x)+(6x-54)

=x(x-9)+6(x-9)

=(x-9)(x+6)

x²+2x-24

=x²-4x+6x-24

=(x²-4x)+(6x-24)

=x(x-4)+6(x-4)

=(x-4)(x+6)

I have not done all the questions