Advertisements
Advertisements
Question
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Advertisements
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
RELATED QUESTIONS
Find the following product: (x − 3) ( x − 2)
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Evaluate the following: 109 × 107
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Simplify:
(b2 – 49)(b + 7) + 343
Expand the following, using suitable identities.
(xy + yz)2
Expand the following, using suitable identities.
(x + 3)(x + 7)
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Using suitable identities, evaluate the following.
(995)2
