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(a) Simplify $(yr)^y$\n\n(b) Simplify $12x^3y^4 + 6y^y$ - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 1

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$(a)-Simplify-$(yr)^y$\n\n(b)-Simplify-$12x^3y^4-+-6y^y$-Edexcel-GCSE Maths-Question 8-2019-Paper 1.png$

(a) Simplify $(yr)^y$\n\n(b) Simplify $12x^3y^4 + 6y^y$

Worked Solution & Example Answer:(a) Simplify $(yr)^y$\n\n(b) Simplify $12x^3y^4 + 6y^y$ - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 1

Step 1

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Answer

To simplify $(yr)^y$ , we apply the power of a product rule which states that $(ab)^n = a^n b^n$ .

Thus,

$(yr)^y = y^y \cdot r^y.$

Step 2

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Answer

To simplify the expression $12x^3y^4 + 6y^y$ , we first factor out the common factor.

The common factor here is $6y^4$ :

$12x^3y^4 + 6y^y = 6y^4(2x^3 + y^{(y-4)}).$

This gives us a simplified form of the expression.

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