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Coordinate Geometry

Question

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Write the following cubes in expanded form:
(2x + 1)³

Solution

(2x + 1)³(2x + 1)³ = (2x)³ + (1)³ + 3(2x)(1)(2x + 1)
| Using Identity VI
= 8x³ + 1 + 6x(2x + 1)
= 8x³ + 1 + 12x² + 6x
= 8x³+ 12x² + 6x + 1

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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