Advertisements
Advertisements
Question
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Advertisements
Solution
L.H.S = `(4/3 m - 3/4n)^2 + 2mn`
= `(4/3 m)^2 - 2(4/3 m)(3/4 n) + (3/4 n)^2 + 2mn`
= `16/9 m^2 - 2mn + 9/16 n^2 + 2mn`
= `16/9 m^2 + 9/16 n^2` = R.H.S
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Evaluate the following: 109 × 107
On dividing 57p2qr by 114pq, we get ______.
Simplify:
(x2 – 4) + (x2 + 4) + 16
Expand the following, using suitable identities.
(x2y – xy2)2
Using suitable identities, evaluate the following.
(103)2
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
(1005)2
Using suitable identities, evaluate the following.
47 × 53
