simplify (-7p)^3

Solution

simplify

(- 7 p)^{3}

- 343 p^{3}

Solution steps

(- 7 p)^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 7 p)^{3} = - (7 p)^{3}

= - (7 p)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(7 p)^{3} = 7^{3} p^{3}

= - 7^{3} p^{3}

7^{3} = 343

= - 343 p^{3}

8 a^{3} - 125 b^{3}

23 + 42

- 12 x^{3} + (x + 2) \cdot (2 x - 1) = (- 2 x^{2} + 1) \cdot (6 x - 1) + 9

x^{3} + 12 x^{2} + 44 x + 48

3 (x - 1)^{2} - 14 = - 2