Question

*2.) Which trinomial is equivalent to 4(x - 5)^2– 3(x - 2)?

Answer 1

Answer:

4x² - 43x - 106

Step-by-step explanation:

4(x - 5)²– 3(x - 2)

4(x - 5)(x - 5) - 3 (x - 2)

distribute

4(x(x - 5) - 5(x - 5)) - 3 (x - 2)

4(x² - 5x - 5x - 25) - 3 (x - 2)

                                 ↓

combine like terms  ↓

4(x² - 10x - 25) (((      ↓

distribute again        ↓

4x² - 40x - 100          ↓

                                 ↓

distribute          ↔    ↓

4x² - 40x - 100 - 3 (x - 2)

4x² - 40x - 100 - 3x + 6

add

4x² - 40x - 106 - 3x

combine

4x² - 43x - 106