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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 6 + 9y, we first identify the common factor of both terms.

The common factor is 3, since both 6 and 9 are divisible by 3. We can thus express the given expression as:

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

Therefore, the fully factorised form is: 3(2 + 3y).

Step 2

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Answer

For the expression 2x² + 6x, we begin by identifying the common factor again.

The common factor in this case is 2x, as both terms contain x and are multiples of 2. Factoring out 2x gives us:

$2x² + 6x = 2x(x + 3)$

Consequently, the fully factorised form is: 2x(x + 3).

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