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Which expression is equivalent to

Which expression is equivalent to-example-1

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6 votes

Answer:

Option 4 is the correct answer 48x⁹ - 72x⁷ + 36x⁵

Explanation:

The given expression is,

9x⁵ + 3x(4x⁴ - 3x²)²

To find (4x⁴ - 3x²)²

(a + b)² = a² + 2ab + b²

(4x⁴ - 3x²)² = (4x⁴ )² - 2*4x⁴*3x² + (3x²)²

= 16x⁸ - 24x⁴⁶+ 9x⁴

To find 3x(4x⁴ - 3x²)²

(4x⁴ - 3x²)² =16x⁸ - 24x⁶+ 9x⁴

3x(4x⁴ - 3x²)² = 3x(16x⁸ - 24x⁶+ 9x⁴ ) = 48x⁹ - 72x⁷ +27x⁵

To find 9x⁵ + 3x(4x⁴ - 3x²)²

3x(4x⁴ - 3x²)² = 48x⁹ - 72x⁷ +27x⁵

9x⁵ + 3x(4x⁴ - 3x²)² = 9x⁵+ 48x⁹ - 72x⁷ +27x⁵ = 48x⁹ - 72x⁷ +36x⁵

Therefore the option 4 is the correct answer

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