Using the order of operations, what should be done first to evaluate (-4)^2 + 6 ÷ (-3 + 4)(2) - 5

23

Step-by-step explanation: PEDMAS

Simplify the following:

(-4)^2 + 6/(4 - 3)×2 - 5

(6×2)/(4 - 3) = (6×2)/(-3 + 4):

(-4)^2 + (6×2)/(4 - 3) - 5

-3 + 4 = 1:

(-4)^2 + (6×2)/1 - 5

(6×2)/1 = 6×2:

(-4)^2 + 6×2 - 5

(-4)^2 = 16:

16 + 6×2 - 5

6×2 = 12:

16 + 12 - 5

| 1 | 6

+ | 1 | 2

| 2 | 8:

28 - 5

| 2 | 8

- | | 5

| 2 | 3:

 23

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form