simplify each of the following expressions.

Question

1. (X²+3x-9) + (-4x²+2x-3).                       2. (X-2)(3x+5).                                           3. (R+3)²                                                      4. (P²+4p-23)-(3p²-23p-23).                     5. (5z-2)(5z+2).                                         6. (2m-4)(m²+2m+4)

Answer 1

1) Add or subtract like terms     -3x² + 5x - 12

2) FOIL     3x² - x - 10

3) Rewrite as (R+3)(R+3) and FOIL    R² + 6R + 9

4) Add or subtract like terms     -2p² + 27p

5) FOIL      25z² - 4

6) Distribute as 2m(m²+2m+4) - 4(m²+2m+4) = 2m³+4m²+8m-4m²-8m-16 = 2m³ - 16