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Factorise fully - OCR - GCSE Maths - Question 7 - 2019 - Paper 1

Question 7

Factorise fully. (a) 6 + 9y (b) 2x² + 6x

Worked Solution & Example Answer:Factorise fully - OCR - GCSE Maths - Question 7 - 2019 - Paper 1

Step 1

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Answer

To factorise the expression, we need to find the greatest common factor (GCF) of the terms 6 and 9y.

The GCF of 6 and 9 is 3, so we can factor that out:

$6 + 9y = 3(2 + 3y)$

Thus, the fully factorised form of 6 + 9y is:

$3(2 + 3y)$

Step 2

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Answer

For this expression, we will again find the GCF, which in this case is 2x because both terms contain a factor of 2 and at least one x.

Factoring out 2x gives:

$2x² + 6x = 2x(x + 3)$

Therefore, the fully factorised form of 2x² + 6x is:

$2x(x + 3)$

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