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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 VI
= (2a + b)(2a + b)(2a + b)

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

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

x¹⁰+ y³ + t⁵⁰

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