Advertisements
Advertisements
प्रश्न
Find the following product: (x2 + 4) (x2 + 9)
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( x^2 + 4 \right)\left( x^2 + 9 \right)\]
\[ = \left( x^2 \right)^2 + \left( 4 + 9 \right)\left( x^2 \right) + 4 \times 9\]
\[ = x^4 + 13 x^2 + 36\]
संबंधित प्रश्न
Show that (3x + 7)2 − 84x = (3x − 7)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
Evaluate the following: 103 × 96
Expand the following:
(2p + 3) (2p – 4) (2p – 5)
By using identity evaluate the following:
73 – 103 + 33
Simplify:
(ab – c)2 + 2abc
Expand the following, using suitable identities.
(a2 + b2)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 |
