Write the form in expanded form $(5 x - 3 y)^{3}$

Open in App

Solution

We have,

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

We know that

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

Therefore,

${(5 x - 3 y)}^{3} = {(5 x)}^{3} - {(3 y)}^{2} - 3 \times 5 x \times 3 y (5 x - 3 y)$

${(5 x - 3 y)}^{3} = 125 x^{3} - 27 y^{3} - 45 x y (5 x - 3 y)$

${(5 x - 3 y)}^{3} = 125 x^{3} - 27 y^{3} - 225 x^{2} y + 135 x y^{2}$

Hence, this is the answer.

Suggest Corrections

Similar questions

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

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

(2 a + 3 b)^{3}

(5 x + 3 y)^{3}

(3 x + 2 y - z)^{2}

5 x + 10 y

5 (x + 2 y)

Join BYJU'S Learning Program