Worked Solution & Example Answer:7 (a) Simplify $(ry)^3$
(b) Simplify $12x^2y^3 + 6y^5$
- Edexcel - GCSE Maths - Question 8 - 2019 - Paper 1
Step 1
Simplify $(ry)^3$
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Answer
To simplify (ry)3, we can apply the power of a product rule. This rule states that (ab)n=animesbn for any constants a and b. Therefore:
(ry)3=r3y3
Hence, the simplified form is:
r^3y^3.
Step 2
Simplify $12x^2y^3 + 6y^5$
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Answer
To simplify 12x2y3+6y5, we first look for common factors in both terms. The greatest common factor (GCF) between the coefficients is 6, and both terms share a common factor of y3: