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2 years ago

What is 125 - (5-9)^3÷2

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

8 0

Answer:

157

Step-by-step explanation:

Simplify the following:

125 - (5 - 9)^3/2

5 - 9 = -4:

125 - (-4)^3/2

(-4)^3 = (-1)^3×4^3 = -4^3:

125 - (-4^3)/2

4^3 = 4×4^2:

125 - (-4×4^2)/2

4^2 = 16:

125 - (-4×16)/2

4×16 = 64:

125 - (-64)/2

2 | 3 | 2

| 6 | 4

- | 6 |

| | 4

| - | 4

| | 0:

125 - ( - 32)

(-1)^2 = 1:

125 + 32

| 1 | 2 | 5

+ | | 3 | 2

| 1 | 5 | 7:

Answer: 157

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$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

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a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

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(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

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