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Coordinate Geometry

Question

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

Solution

8a³ - b³ - 12a²b + 6ab²8a³ - b³ - 12a²b + 6ab²= (2a)³ - (b)³ - 3(2a)(b) (2a - b)
= (2a - b)³ | Using Identity VII
= (2a - b)(2a - b)(2a - b)

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

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