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Coordinate Geometry
Question
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Factorise each of the following:
64a3 - 27b3 - 144a2* + 108ab2

Answer

64a3 - 27b3 - 144a2* + 108ab2
64a3 - 27b3 - 144a2b + 108ab2
= (4a)3 - (3b)3 - 3(4a)(3b) (4a - 3b)
= (4a - 3b)3 | Using Identity VII
= (4a - 3b)(4a - 3b)(4a - 3b)

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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

Write the coefficients of x2 in each of the following:
2 - x2 + x3