Advertisements
Advertisements
प्रश्न
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
Advertisements
उत्तर
To simplify, we will use distributive law as follows:
\[x^2 \left( x^2 + 1 \right) - x^3 \left( x + 1 \right) - x\left( x^3 - x \right)\]
\[ = x^4 + x^2 - x^4 - x^3 - x^4 + x^2 \]
\[ = x^4 - x^4 - x^4 - x^3 + x^2 + x^2 \]
\[ = - x^4 - x^3 + 2 x^2\]
APPEARS IN
संबंधित प्रश्न
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Evaluate each of the following when x = 2, y = −1.
\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
What is the product of 3x and 4x²?
What is the result of 2y(3y² − 4y + 5)?
What is the product of (x + 3) and (x − 5)?
