Question 85 (iii)

Expand the following, using suitable identities.

${(\frac{4}{5} a + \frac{5}{4} b)}^{2}$

Open in App

Solution

We have,
${(\frac{4}{5} a + \frac{5}{4} b)}^{2} = {(\frac{4}{5} a)}^{2} + {(\frac{5}{4} b)}^{2} + 2 \times \frac{4}{5} a \times \frac{5}{4} b$
$= \frac{16}{25} a^{2} + \frac{25}{16} b^{2} + 2 a b$ [using the identity, $(a + b)^{2} = a^{2} + b^{2} + 2 a b$ ]

Suggest Corrections

Similar questions

Question 85 (iii)

Expand the following, using suitable identities.

${(\frac{4}{5} a + \frac{5}{4} b)}^{2}$

Question 85 (xiv)

Expand the following, using suitable identities.

$(7 x + 5)^{2}$

Question 85 (ii)

Expand the following, using suitable identities.

$(x^{2} y - x y^{2})^{2}$

Question 85 (xv)

Expand the following, using suitable identities.

$(0.9 p - 0.5 q)^{2}$

Question 85 (vii)

Expand the following, using suitable identities.

$(2 x + 9) (2 x - 7)$

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program