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skad [1K]
4 years ago
9

Which expression is equivalent to

Mathematics
1 answer:
Vsevolod [243]4 years ago
5 0

Answer:

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

Step-by-step explanation:

The given expression is,

9x⁵ + 3x(4x⁴ - 3x²)²

<u>To find (4x⁴ - 3x²)</u>²

(a + b)² = a²  + 2ab + b²

<u>(4x⁴ - 3x²)</u>² = (<u>4x⁴ )</u>²  -  2*<u>4x⁴*3x²  + (3x²)</u>²

   = 16x⁸ - 24x⁴⁶+ 9x⁴

<u>To find 3x(4x⁴ - 3x²)²</u>

(4x⁴ - 3x²)² =16x⁸ - 24x⁶+ 9x⁴

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

<u>To find 9x⁵ + 3x(4x⁴ - 3x²)²</u>

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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