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Coordinate Geometry

Question

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Write the following cubes in expanded form:
(2a - 3b)³

Solution

(2a - 3b)³(2a - 3b)³ = (2a)³ - (3b)³ - 3(2a)(3b)(2a - 3b)
| Using Identity VII = 8a³ - 27b³ - 18ab(2a - 3b)
= 8a³ - 27b³ - 36a²b + 54ab²

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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