Question

Factorise: 3x⁴y³ – 48y³.

Answer 1

3x⁴y³ - 48y³

3y³ ( x⁴ - 16)

3y³ ( (x²)² - 4²)

3y³ ( x ² - 4) ( x² + 4)

3y³ ( x - 2) ( x + 2) ( x² + 4)

Answer 2

SOLUTION

3x⁴y³ – 48y³

= 3y³(x⁴ – 16)

= 3y³[(x²)² - 4²]

= 3y³(x²b+ 4)(x² - 4)

= 3y³(x² + 4)(x² - 2²

= 3y³(x² + 4)(x + 2)(x -2)

» So, the answer is 3y³(x² + 4)(x + 2)(x -2)

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