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प्रश्न
xy(x3 − y3)
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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:
(−5xy) × (−3x2yz)
Find each of the following product:
(−4x2) × (−6xy2) × (−3yz2)
Find each of the following product: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
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:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
What is the result of 2y(3y² − 4y + 5)?
