Question

How do you Factorise BBC Bitesize?

Answer 1

ANSWER

1. The difference of two squares can be factorised into brackets using the method above for factorising quadratics.
2. The difference of two squares can be factorised into brackets using the method above for factorising quadratics.To factorise this quadratic, find two numbers that have a product of -4 and a sum of 0.
3. The difference of two squares can be factorised into brackets using the method above for factorising quadratics.To factorise this quadratic, find two numbers that have a product of -4 and a sum of 0.Therefore, the two numbers to go into the brackets are -2 and 2.

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Answer 2

Answer:

Factorise x^2 + 7x + 10.

To factorise this expression, find two numbers that have a product of +10 and a sum of +7.

There are a couple of ways of making +10 by multiplying two numbers. These are 1 \times 10 and 2 \times 5. Only the combination of 2 and 5 will also give a sum of +7, so the two numbers are 2 and 5.

x^2 + 7x + 10 = (x + 2)(x + 5)

To check this answer is correct, expand out the brackets.

(x + 2)(x + 5) = x \times x + x \times 5 + 2 \times x + 2 \times 5

= x^2 + 5x + 2x + 10 = x^2 + 7x + 10

This is the original expression, so (x + 2)(x + 5) is the correct factorisation.

Step-by-step explanation: