Question

How do you factor `100x^2-49`?

Answer 1

See a solution process below:

Explanation:

This is a special case of the quadratic:

`a^2 - b^2 = (a + b)(a - b)`

Substituting `10x` for `a` and `7` for `b` gives:

`100x^2 - 49 = (10x)^2 - 7^2 = (10x + 7)(10x - 7)`