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प्रश्न
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
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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 \[6 x^4 - x^3 - 22 x^2 + 36x - 20\].
संबंधित प्रश्न
Find each of the following product:
\[\left( - \frac{2}{7} a^4 \right) \times \left( - \frac{3}{4} a^2 b \right) \times \left( - \frac{14}{5} b^2 \right)\]
Evaluate (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
Find the following product:
4.1xy(1.1x − y)
Simplify: a(b − c) − b(c − a) − c(a − b)
Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Multiply:
(2x + 8) by (x − 3)
Simplify:
a2b2(a + 2b)(3a + b)
Solve the following equation.
6x − 1 = 3x + 8
What is the product of (x + 3) and (x − 5)?
