Can you explain
(x-5) (x+3) +(x-4) (x+7)
Sure! To simplify this expression, we can use the distributive property to multiply each term in the first parenthesis by each term in the second parenthesis and then add the products together.
First, let's multiply (x - 5) by (x + 3):
(x - 5)(x + 3)
= x * x + x * 3 - 5 * x - 5 * 3
= x^2 + 3x - 5x - 15
= x^2 - 2x - 15
Next, let's multiply (x - 4) by (x + 7):
(x - 4)(x + 7)
= x * x + x * 7 - 4 * x - 4 * 7
= x^2 + 7x - 4x - 28
= x^2 + 3x - 28
Now, we can add the two simplified expressions together:
(x^2 - 2x - 15) + (x^2 + 3x - 28)
= x^2 - 2x - 15 + x^2 + 3x - 28
= 2x^2 + x - 43
Therefore, the simplified expression is 2x^2 + x - 43.