Question

Written as a simplified polynomial in standard form, what is the result when

(x + 5)2 is subtracted from 6x² + 3?

Answer 1

Expanding the square of the binomial (x + 5)^2, we get:

(x + 5)^2 = (x + 5)(x + 5) = x^2 + 10x + 25

Now, let's subtract (x + 5)^2 from 6x^2 + 3:

(6x^2 + 3) - (x^2 + 10x + 25)

Simplifying, we get:

6x^2 + 3 - x^2 - 10x - 25

Combining like terms, we get:

5x^2 - 10x - 22

Therefore, the result of subtracting (x + 5)^2 from 6x^2 + 3 is 5x^2 - 10x - 22, written in standard form.