Question

Facterise the following expression using the identity (x+a) (x+b)
1. x²+5x+6
2. x²+10x+24
3. x²+15x+56
4. x²+19x+60
5. x²+13x+40
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Answer 1

Answer:

1)(x+3)(x+2)

2)(x+6)(x+4)

3)(x+8)(x+7)

4)(x+15)(x+4)

5)(x+8)(x+5)

Answer 2

Answer:

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Step-by-step explanation:

1) x^2+5x+6=x^2+3x+2x+6 =x(x+3)+2(x+3)

=(x+3)(x+2)

2) x^2+10x+24=x^2+6x+4x+24=x(x+6)+4(x+6)

=(x+6)(x+4)

3) x^2+15x+56=x^2+8x+7x+56=x(x+8)+7(x+8)

=(x+8)(x+7)

4) x^2+19x+60=x^2+4x+15x+60=x(x+4)+15(x+4)

=(x+4)(x+15)

5) x^2 +13x+40=x^2+5x+8x+40=x(x+5)+8(x+5)

=(x+5)(x+8)