Advertisements
Advertisements
प्रश्न
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
उत्तर
To simplify, we will proceed as follows:
\[\left( 2 x^2 + 3x - 5 \right)\left( 3 x^2 - 5x + 4 \right)\]
\[= 2 x^2 \left( 3 x^2 - 5x + 4 \right) + 3x\left( 3 x^2 - 5x + 4 \right) - 5\left( 3 x^2 - 5x + 4 \right)\] (Distributive law)
\[= 6 x^4 - 10 x^3 + 8 x^2 + 9 x^3 - 15 x^2 + 12x - 15 x^2 + 25x - 20\]
\[= 6 x^4 - 10 x^3 + 9 x^3 + 8 x^2 - 15 x^2 - 15 x^2 + 12x + 25x - 20\] (Rearranging)
\[= 6 x^4 - x^3 - 22 x^2 + 36x - 20\] (Combining like terms)
Thus, the answer is \[6 x^4 - x^3 - 22 x^2 + 36x - 20\].
APPEARS IN
संबंधित प्रश्न
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Simplify: a(b − c) − b(c − a) − c(a − b)
Multiply:
[−3d + (−7f)] by (5d + f)
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
x2(x − y) y2(x + 2y)
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
