Question

How to find the cube of 2m+1

Answer 1

Answer:

${(a + b)}^{3 } = {a}^{3} + {a}^{2}b + a {b}^{2} + {b}^{3}$

Answer 2

Answer:

8m^3 + 12m^2 + 6m + 1

Step-by-step explanation:

Cube = exponent 3

exponent = number of times a number multiply by itself

e.g 2^3 = 2 x 2 x 2

   5^6 = 5 x 5 x 5 x 5 x 5 x 5

(2m+1)^3

Multiply first two

(2m+1) (2m +1)

= 4m^2 + 2m + 2m + 1

=4m^2 + 4m + 1

Do the third one

(4m^2 + 4m + 1) (2m + 1)

= 8m^3 + 4m^2 + 8m^2 + 4m + 2m + 1

=8m^3 + 12m^2 + 6m + 1