Advertisements
Advertisements
प्रश्न
Find the following product: (2x2 − 3) (2x2 + 5)
Advertisements
उत्तर
Here, we will use the identity \[\left( x - a \right)\left( x + b \right) = x^2 + \left( b - a \right)x - ab\].
\[\left( 2 x^2 - 3 \right)\left( 2 x^2 + 5 \right)\]
\[ = \left( 2 x^2 \right)^2 + \left( 5 - 3 \right)\left( 2 x^2 \right) - 3 \times 5\]
\[ = 4 x^4 + 4 x^2 - 15\]
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (x + 4) (x + 7)
Evaluate the following: 109 × 107
Evaluate the following: 994 × 1006
Multiply the following:
(2x – 2y – 3), (x + y + 5)
Simplify:
`(3/4x - 4/3y)^2 + 2xy`
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
