Question

Expand and simplify each of the following expressions:

A) 3(x - 4) +5 (x + 6)

B) (x - 2)( x + 4)

C) 3(2a + 3)(2a - 1) -4 (a^2 - 7)

Answer 1

Ok to solve your first expression follow these steps 1. Simplifying 3(x + -4) + 5(x + 6) 2. Reorder the terms 3(-4 + x) + 5(x + 6) (-4 * 3 + x * 3) + 5(x + 6) (-12 + 3x) + 5(x + 6) 3. Reorder the terms -12 + 3x + 5(6 + x) -12 + 3x + (6 * 5 + x * 5) -12 + 3x + (30 + 5x) 4. Reorder the terms -12 + 30 + 3x + 5x 5. Combine like terms -12 + 30 = 18 + 3x + 5x 6. Combine like terms 3x + 5x = 8x + 18 and that's your answer do you understand?