Advertisements
Advertisements
प्रश्न
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Advertisements
उत्तर
To simplify, we will use distributive law as follows:
\[2 x^2 \left( x^3 - x \right) - 3x\left( x^4 + 2x \right) - 2\left( x^4 - 3 x^2 \right)\]
\[ = 2 x^5 - 2 x^3 - 3 x^5 - 6 x^2 - 2 x^4 + 6 x^2 \]
\[ = 2 x^5 - 3 x^5 - 2 x^4 - 2 x^3 - 6 x^2 + 6 x^2 \]
\[ = - x^5 - 2 x^4 - 2 x^3\]
संबंधित प्रश्न
Find each of the following product:
5x2 × 4x3
Evaluate (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
Find the following product:
−5a(7a − 2b)
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:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
x2(x − y) y2(x + 2y)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
