Advertisements
Advertisements
प्रश्न
xy(x3 − y3)
Advertisements
उत्तर
To find the product, we will use the distributive law in the following way:
\[xy\left( x^3 - y^3 \right)\]
\[ = xy \times x^3 - xy \times y^3 \]
\[ = \left( x \times x^3 \right) \times y - x \times \left( y \times y^3 \right)\]
\[ = x^{1 + 3} y - x y^{1 + 3} \]
\[ = x^4 y - x y^4\]
Thus, the answer is \[x^4 y - x y^4\].
संबंधित प्रश्न
Find each of the following product:
\[\left( - \frac{1}{27} a^2 b^2 \right) \times \left( \frac{9}{2} a^3 b^2 c^2 \right)\]
Find each of the following product:
(−5a) × (−10a2) × (−2a3)
Evaluate each of the following when x = 2, y = −1.
\[(2xy) \times \left( \frac{x^2 y}{4} \right) \times \left( x^2 \right) \times \left( y^2 \right)\]
Find the following product:
−5a(7a − 2b)
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: a2b(a3 − a + 1) − ab(a4 − 2a2 + 2a) − b (a3 − a2 − 1)
Multiply:
[−3d + (−7f)] by (5d + f)
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Which formula represents multiplication of powers with the same base?
