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Coordinate Geometry
Question
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Factorise each of the following:
8a3 - b3 - 12a2b + 6ab2

Answer

8a3 - b3 - 12a2b + 6ab2
8a3 - b3 - 12a2b + 6ab2
= (2a)3 - (b)3 - 3(2a)(b) (2a - b)
= (2a - b)3 | Using Identity VII
= (2a - b)(2a - b)(2a - b)

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Some More Questions From Coordinate Geometry Chapter

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

4x2 - 3x + 7

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

x10+ y3 + t50

Write the coefficients of x2 in each of the following:

2 + x2 + x