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7 (a) Simplify $(ry)^3$ (b) Simplify $12x^2y^3 + 6y^5$ - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 1

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7-(a)-Simplify-$(ry)^3$---(b)-Simplify-$12x^2y^3-+-6y^5$----Edexcel-GCSE Maths-Question 8-2019-Paper 1.png

7 (a) Simplify $(ry)^3$ (b) Simplify $12x^2y^3 + 6y^5$

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(ry)^3, we can apply the power of a product rule. This rule states that (ab)n=animesbn(ab)^n = a^n imes b^n for any constants a and b. Therefore:

(ry)3=r3y3(ry)^3 = r^3y^3

Hence, the simplified form is:
r^3y^3.

Step 2

Simplify $12x^2y^3 + 6y^5$

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Answer

To simplify 12x2y3+6y512x^2y^3 + 6y^5, 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 y3y^3:

12x2y3+6y5=6y3(2x2+y2)12x^2y^3 + 6y^5 = 6y^3(2x^2 + y^2)

This is the simplified form of the expression.

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