Advertisements
Advertisements
Question
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Solution
L.H.S = (9p − 5q)2 + 180pq
= (9p)2 − 2(9p)(5q) + (5q)2 − 180pq
= 81p2 − 90pq + 25q2 + 180pq
= 81p2 + 90pq + 25q2
R.H.S = (9p + 5q)2
= (9p)2 + 2(9p)(5q) + (5q)2
= 81p2 + 90pq + 25q2
L.H.S = R.H.S
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Show that (3x + 7)2 − 84x = (3x − 7)2
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Find the following product: (y2 + 12) (y2 + 6)
On dividing 57p2qr by 114pq, we get ______.
Simplify:
(3x + 2y)2 – (3x – 2y)2
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
(xy + yz)2
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
