Question

write the following cubes in expanded form:
(2). (2a-3)power 3​

Answer 1

SOLUTION

TO DETERMINE

The cubes in expanded form

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

FORMULA TO BE IMPLEMENTED

We are aware of the identity that

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

EVALUATION

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

$\sf{ = {(2a)}^{3} - 3. {(2a)}^{2}.3+ 3.2a. {(3)}^{2} - {(3)}^{3} }$

$\sf{ = 8{a}^{3} - 3. 4{a}^{2}.3+ 3.2a. 9 - 27 }$

$\sf{ = 8{a}^{3} - 36{a}^{2}+ 54a - 27 }$

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