Question

expand the following
(3m -4) ^3​

Answer 1

Step-by-step explanation:

• hope u got it pls mark as brainiest and I

Answer 2

SOLUTION

TO DETERMINE

To expand :

$\sf {(3m - 4)}^{3}$

FORMULA TO BE IMPLEMENTED

We are aware of the formula that

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

EVALUATION

Here the given expression is

$\sf {(3m - 4)}^{3}$

We know use the formula

$\boxed{ \: \: \sf{ {(a - b)}^{3} = {a}^{3} - {b}^{3} - 3 {a}^{2}b + 3a {b}^{2} } \: \: }$

Thus we get

$\sf {(3m - 4)}^{3}$

$\sf = {(3m)}^{3} - {(4)}^{3} - 3 \times {(3m)}^{2} \times 4 + 3 \times 3m \times {4}^{2}$

$\sf = 27{m}^{3} - 64 - (3 \times 9 {m}^{2} \times 4 )+( 3 \times 3m \times 16)$

$\sf = 27{m}^{3} - 64 -108 {m}^{2} +144m$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280