Advertisements
Advertisements
Question
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Advertisements
Solution
We have,
`((4x)/5 + y/4)((4x)/5 + (3y)/4) = ((4x)/5)^2 + (y/4 + (3y)/4) (4x)/5 + y/4 xx (3y)/4` ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]
= `16/25x^2 + (4xy)/5 + (3y^2)/16`
APPEARS IN
RELATED QUESTIONS
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Simplify the following using the identities: 178 × 178 − 22 × 22
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Using suitable identities, evaluate the following.
(52)2
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
