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Multiply out - OCR - GCSE Maths - Question 6 - 2019 - Paper 1

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Question 6

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Multiply out. 4(3x + 2) (a) .................................................[1] (b) Factorise. 3c - 6d (b) .................................................[1]

Worked Solution & Example Answer:Multiply out - OCR - GCSE Maths - Question 6 - 2019 - Paper 1

Step 1

Multiply out. 4(3x + 2)

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Answer

To multiply out the expression, we distribute the 4 to both terms inside the parentheses:

4(3x+2)=4imes3x+4imes2=12x+84(3x + 2) = 4 imes 3x + 4 imes 2 = 12x + 8

Thus, the result is:

Answer: 12x+812x + 8

Step 2

Factorise. 3c - 6d

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Answer

To factorise the expression, we look for the greatest common factor of the terms 3c and -6d. The greatest common factor is 3:

3c6d=3(c2d)3c - 6d = 3(c - 2d)

Therefore, the factorised form is:

Answer: 3(c2d)3(c - 2d)

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