Question

Factorise the following expressions:
1. x²+ 14x +33
2. y²-y-6
3. x²+ 11x + 30
4. y²+ y - 132
5. p² - 5p - 6
6. p²+p-56
7. x²+ 2x - 24
8. x²- 3x- 54​

Answer 1

$\huge{\mathtt{\color{magenta}{✤ ANSWER ✤ }}}$

1.) x²+ 14x +33

=> x² + 11x + 3x + 33

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

$\large{\boxed{\purple{(x+11)(x+3)}}}$

2.) y² - y - 6

=> y² - 3y + 2y - 6

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

$\large{\boxed{\red{(y-11)(y+2)}}}$

3.) x² + 11x + 30

=> x² + 6x + 5x + 30

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

$\large{\boxed{\green{(x+6)(x+5)}}}$

4.) y² + y - 132

=> y² + 12y - 11y - 132

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

$\large{\boxed{\blue{(y+12)(y-11)}}}$

5.) p² - 5p - 6

=> p² - 6p + 1p - 6

=> p(p-6) + 1(p-6)

$\large{\boxed{\orange{(p-6)(p+1)}}}$

6.) p²+p-56

=> p² + 8p - 7p - 56

=> p(p+8) - 7(p+8)

$\large{\boxed{\pink{(p+8)(p-7)}}}$

7.) x²+ 2x - 24

=> x² + 6x - 4x - 24

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

$\large{\boxed{\color{aqua}{(x-9)(x+6)}}}$

8.) x²- 3x- 54

=> x² - 9x + 6x - 54

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

$\large{\boxed{\color{magenta}{(x-9)(x+6)}}}$

Hope it helps.......

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