Advertisements
Advertisements
Question
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Advertisements
Solution
We have,
(4.5a + 1.5b)2 + (4.5b + 1.5a)2 = (4.5a)2 + (1.5b)2 + 2 × 4.5a × 1.5b + (4.5b)2 + (1.5a)2 + 2 × 4.5b × 1.5a ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= 20.25a2 + 2.25b2 + 13.5ab + 20.25b2 + 2.25a2 + 13.5ab
= 40.5a2 + 4.5b2 + 27ab
APPEARS IN
RELATED QUESTIONS
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^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
Find the following product: (x + 4) (x + 7)
Find the following product: (y2 + 12) (y2 + 6)
Evaluate the following: 53 × 55
Simplify:
(x2 – 4) + (x2 + 4) + 16
Simplify:
(s2t + tq2)2 – (2stq)2
Using suitable identities, evaluate the following.
(103)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 |
