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Coordinate Geometry

Question

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Factorise each of the following:

x² + 2ax - b² - 2ab

Solution

x² + 2ax - b² - 2ab

x² + 2ax - b² - 2ab = (x² - b²) + (2ax - 2ab)
= (x- b)(x + b) + 2a(x - b)
| Using Identity III
= (x - b)(x + b + 2a)

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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