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Factorisation by Grouping Terms

xy z2+1+zx2+y...

Question

xy(z² + 1) + z(x²+ y²) can be factorise as

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Solution

Opening the brackets and multiplying,

xyz^2 + xy + zx^2 + zy^2
= xyz^2 + zx^2 + xy + zy^2
= xz(yz + x) +y(zy + x)
= (yz + x)(xz + y)

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