Advertisements
Advertisements
प्रश्न
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( x + \frac{1}{5} \right)\left( x + 5 \right)\]
\[ = x^2 + \left( \frac{1}{5} + 5 \right)x + \frac{1}{5} \times 5\]
\[ = x^2 + \frac{26}{5}x + 1\]
APPEARS IN
संबंधित प्रश्न
Show that (9p - 5q)2 + 180pq = (9p + 5q)2
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 9.8 × 10.2
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: (2x2 − 3) (2x2 + 5)
Find the following product: (x2 + 4) (x2 + 9)
On dividing 57p2qr by 114pq, we get ______.
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Using suitable identities, evaluate the following.
47 × 53
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 |
