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Coordinate Geometry
Question
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Factorise each of the following: 27y3 + 125z3 

Answer

27y3 + 125z3
27y3 + 125z3 = (3y)3 + (5z)3
= (3y + 5z){(3y)2 - (3y)(5z) + (5z)2}
= (3y + 5z)(9y2 - 15yz + 25z2)

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Some More Questions From Coordinate Geometry Chapter

Find the value of n, given (81)5/n = 243.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x2 - 3x + 7