Advertisements
Advertisements
प्रश्न
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Advertisements
उत्तर
To simplify, we will use distributive law as follows:
\[x^3 y\left( x^2 - 2x \right) + 2xy\left( x^3 - x^4 \right)\]
\[ = x^5 y - 2 x^4 y + 2 x^4 y - 2 x^5 y\]
\[ = x^5 y - 2 x^5 y - 2 x^4 y + 2 x^4 y\]
\[ = - x^5 y\]
संबंधित प्रश्न
Find each of the following product:
5x2 × 4x3
Find each of the following product:
(−4x2) × (−6xy2) × (−3yz2)
Find each of the following product:
\[\left( - \frac{2}{7} a^4 \right) \times \left( - \frac{3}{4} a^2 b \right) \times \left( - \frac{14}{5} b^2 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Evaluate (−8x2y6) × (−20xy) for x = 2.5 and y = 1.
Find the following product: \[- \frac{8}{27}xyz\left( \frac{3}{2}xy z^2 - \frac{9}{4}x y^2 z^3 \right)\]
Simplify: a(b − c) − b(c − a) − c(a − b)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Multiply:
23xy2 × 4yz2
