Question

(3x-1/2x)^3 expand the following by using standard formula

Answer 1

Answer:

127/8 x^3

Step-by-step explanation:

Answer 2

$\bold\blue{QUESTION}$

$expand \: {(3x - \frac{1}{2x})}^{3}$

$\bold\green{ANSWER}$

$\bold\purple{(3x - \frac{1}{2x})}^{3} \\ \\ = {(3x)}^{3} - {( \frac{1}{2x}) }^{3} - 3 \times {{(3x)}}^{2} \times \frac{1}{2x} \\ \:\: + 3 \times 3x \times {( \frac{1}{2x} )}^{2} \\\:\:\:\:\: {(( {a - b)}^{3 } = {a}^{3} - {b}^{3 } - 3 {a}^{2} b + 3a {b}^{2} })\\ \\ = 27 {x}^{3}- \frac{1}{8 {x}^{3} } - \frac{27}{2} x + \frac{9}{2x}$

$\bold\red{ADDITIONAL\: INFORMATION}$

• a²+b²+2ab=(a+b)²

• a²+b²-2ab=(a-b)²

• a²-b²=(a+b)(a-b)

• a³+b³=(a+b)(a²+b²-ab)

• a³-b³=(a-b)(a²+b²+ab)

• a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

• a³+b³+3ab(a+b)=(a+b)³

• a³-b³-3ab(a-b)=(a-b)³