Question

Use identity (3x-5 ) ka cube

Answer 1

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Answer 2

Question:-

The value of

${(3x - 5)}^{3}$

Solution:-

Formula:-

${(a - b)}^{3} = {a}^{3} - {b}^{3} - 3ab(a - b)$

${(3x - 5)}^{3} = ({3x})^{3} - {( 5)}^{3} - 3 \times 3</strong><strong>x</strong><strong> \times 5 (3</strong><strong>x</strong><strong>- 5)$

$9 {x}^{3} - 125 </strong><strong>- 45</strong><strong>x</strong><strong>(</strong><strong>3</strong><strong>x</strong><strong>-</strong><strong>5</strong><strong> )$

$9 {x}^{3} - 125 </strong><strong>-</strong><strong> </strong><strong>1</strong><strong>3</strong><strong>5</strong><strong>{</strong><strong>x</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>+</strong><strong>2</strong><strong>2</strong><strong>5</strong><strong>$

$</strong><strong>9</strong><strong> {x}^{3} -</strong><strong>1</strong><strong>3</strong><strong>5</strong><strong>{</strong><strong>x</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>+</strong><strong>2</strong><strong>2</strong><strong>5</strong><strong>x</strong><strong>-</strong><strong>1</strong><strong>2</strong><strong>5</strong><strong>$

Final Answer:-

9x^3 - 135x^2 + 225x -125