# What is the simplified form of the quantity 4 x squared minus 25 over the quantity 4x minus 5?

**Solution:**

We will use the concept of algebraic expression in order to find the simplified form.

Let us first write 4 x squared minus 25 in an algebraic form which will be equal to (4x)^{2} - 25

Now, (4x)^{2} - 25 = 16x^{2} - 25

Now 4 x squared minus 25 over the quantity 4x minus 5 will be equal to (16x^{2} - 25) / (4x - 5)

We will use algebraic identity a^{2} - b^{2} = (a + b)(a - b)

Hence, 16x^{2} - 25 = (4x + 5) (4x - 5)

Therefore, (16x^{2} - 25) / (4x - 5) = (4x + 5) (4x - 5) / (4x - 5)

Hence, the simplified form of the quantity 4 x squared minus 25 over the quantity 4x minus 5 is 4x + 5.

## What is the simplified form of the quantity 4 x squared minus 25 over the quantity 4x minus 5?

**Summary:**

The simplified form of the quantity 4 x squared minus 25 over the quantity 4x minus 5 is 4x + 5.

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