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Coordinate Geometry

Question

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Factorise each of the following:
27 - 125a³ - 135a + 225a²

Solution

27 - 125a³ - 135a + 225a²27 - 125a³ - 135a + 225a²= (3)³ - (5a)³ - 3(3)(5a)(3 - 5a)
= (3 - 5a)³ | Using Identity VII
= (3 - 5a)(3 - 5a)(3 - 5a)

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

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