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# What is the completely factored form of 8x^{2} - 50?

**Solution:**

Given __equation__ 8x^{2} - 50

= 2(4x^{2} - 25)

= 2((2x)² - 5² )

We know that a² - b² = (a + b)(a - b)

= 2(2x + 5)(2x - 5)

2(2x + 5)(2x - 5) is the completely factored form of 8x^{2} - 50

## What is the completely factored form of 8x^{2} - 50?

**Summary:**

2(2x + 5)(2x - 5) is the completely factored form of 8x^{2} - 50

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