15
(a) Simplify;
4a − 2b − 2a + 5b
(b)
(i) Multiply out - OCR - GCSE Maths - Question 15 - 2020 - Paper 1
Question 15
15
(a) Simplify;
4a − 2b − 2a + 5b
(b)
(i) Multiply out.
4(x + 3)
(ii) Multiply out and simplify.
(x + 5)(x − 2)
Worked Solution & Example Answer:15
(a) Simplify;
4a − 2b − 2a + 5b
(b)
(i) Multiply out - OCR - GCSE Maths - Question 15 - 2020 - Paper 1
Simplify the expression 4a − 2b − 2a + 5b
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To simplify the expression, we first combine like terms.
Starting with the a terms:
4a−2a=2a
Next, we combine the b terms:
−2b+5b=3b
Thus, the simplified expression is:
2a+3b
Multiply out.
4(x + 3)
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To multiply out the expression, we apply the distributive property:
4(x+3)=4x+12
Multiply out and simplify.
(x + 5)(x − 2)
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To multiply out the expression, we again apply the distributive property (FOIL method):
egin{align*} (x + 5)(x - 2) &= x imes x + x imes (-2) + 5 imes x + 5 imes (-2) \ &= x^2 - 2x + 5x - 10 \ &= x^2 + 3x - 10 \\ ext{Thus, the simplified expression is:}\ & x^2 + 3x - 10 \\ ext{Final answer:} \\ & x^2 + 3x - 10 \\ \end{align*}
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