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11 Multiply out - OCR - GCSE Maths - Question 11 - 2019 - Paper 1

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Question 11

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11 Multiply out. (a) 3(x - 2) (b) 2a(a + b)

Worked Solution & Example Answer:11 Multiply out - OCR - GCSE Maths - Question 11 - 2019 - Paper 1

Step 1

(a) 3(x - 2)

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Answer

To multiply out the expression 3(x2)3(x - 2), we will apply the distributive property.

  1. Multiply 3 by each term inside the parentheses:

    3imesx3imes23 imes x - 3 imes 2

    This gives us:

    3x63x - 6

Thus, the result of multiplying out 3(x2)3(x - 2) is 3x63x - 6.

Step 2

(b) 2a(a + b)

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Answer

To multiply out the expression 2a(a+b)2a(a + b), we again apply the distributive property:

  1. Multiply 2a2a by each term inside the parentheses:

    2aimesa+2aimesb2a imes a + 2a imes b

    This results in:

    2a2+2ab2a^2 + 2ab

Hence, the result of multiplying out 2a(a+b)2a(a + b) is 2a2+2ab2a^2 + 2ab.

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