Advertisements
Advertisements
प्रश्न
Simplify:
(1.5p + 1.2q)2 – (1.5p – 1.2q)2
Advertisements
उत्तर
We have,
(1.5p + 1.2q)2 – (1.5p – 1.2q)2 = [(1.5p + 1.2q) + (1.5p – 1.2q)][(1.5p + 1.2q) – (1.5p – 1.2q)] ...[Using the identity, a2 – b2 = (a + b)(a – b)]
= [(1.5p + 1.5p) + (1.2q – 1.2q)][(1.5p – 1.5p) + (1.2q + 1.2q)]
= 3p × 2.4q
= 7.2pq
APPEARS IN
संबंधित प्रश्न
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the following product: (z2 + 2) (z2 − 3)
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Find the following product: (x2 + 4) (x2 + 9)
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
By using identity evaluate the following:
`1 + 1/8 - 27/8`
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)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 |
