Coordinate Geometry

Question

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Factorise: (ax + by)² + (ay - bx)²

Answer

(ax + by)² + (ay - bx)²= a²x² + b²y² + 2abxy + a²y² + b²x² - 2abxy
= a² (x² + y²) + b² (x² + y²)
= (x² + y²) (a² + b²).

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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

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