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Expand and simplify 5(p + 3) - 2(1 - 2p) - Edexcel - GCSE Maths - Question 3 - 2018 - Paper 3

Question 3

Expand and simplify 5(p + 3) - 2(1 - 2p)

Worked Solution & Example Answer:Expand and simplify 5(p + 3) - 2(1 - 2p) - Edexcel - GCSE Maths - Question 3 - 2018 - Paper 3

Step 1

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Answer

To expand the expression, we distribute 5 to both terms inside the parentheses:

$5(p + 3) = 5p + 15$

Step 2

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Answer

Next, distribute -2 to both terms inside the parentheses:

$-2(1 - 2p) = -2 imes 1 + (-2) imes (-2p) = -2 + 4p$

Step 3

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Answer

Now, combine both expanded expressions:

$5p + 15 - 2 + 4p$

Step 4

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Answer

Finally, simplify the expression by combining like terms:

$5p + 4p + 15 - 2 = 9p + 13$

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