6 (a) Simplify:
(i) 3a × 4
(ii) b × b × b × b
(iii) c² × c⁴
(b) Factorise:
9 – 6y - OCR - GCSE Maths - Question 6 - 2023 - Paper 3
Question 6
6 (a) Simplify:
(i) 3a × 4
(ii) b × b × b × b
(iii) c² × c⁴
(b) Factorise:
9 – 6y
Worked Solution & Example Answer:6 (a) Simplify:
(i) 3a × 4
(ii) b × b × b × b
(iii) c² × c⁴
(b) Factorise:
9 – 6y - OCR - GCSE Maths - Question 6 - 2023 - Paper 3
(a)(i) 3a × 4
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To simplify the expression, multiply the coefficients together.
3a×4=12a
(a)(ii) b × b × b × b
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This expression contains the base 'b' multiplied by itself 4 times. By using the exponent rule for multiplication, it simplifies to:
b×b×b×b=b4
(a)(iii) c² × c⁴
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When multiplying expressions with the same base, we add the exponents:
c2×c4=c2+4=c6
(b) Factorise: 9 – 6y
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To factorise the expression, we look for a common factor in both terms:
9–6y=3(3–2y)
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