Middle School

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Factor.

\[ 9x^4 - 64y^2 \]

Answer :

The factor of the expression 9x⁴ - 64y² will be;

⇒ (3x² - 8y) (3x² + 8y)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 9x⁴ - 64y²

Now, Factor of the expression is solve as,

⇒ 9x⁴ - 64y²

⇒ (3x²)² - (8y)²

Since, (a² - b²) = (a - b) (a + b)

So, Apply the above formula in the expression as;

⇒ 9x⁴ - 64y²

⇒ (3x²)² - (8y)²

⇒ (3x² - 8y) (3x² + 8y)

Thus, The factor of the expression 9x⁴ - 64y² will be;

⇒ (3x² - 8y) (3x² + 8y)

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Rewritten by : Barada

Final result :

(3x2 + 8y) • (3x2 - 8y)


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