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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: \[\left( \frac{7}{9}a b^2 \right) \times \left( \frac{15}{7}a c^2 b \right) \times \left( - \frac{3}{5} a^2 c \right)\]
Find each of the following product: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: x(x + 4) + 3x(2x2 − 1) + 4x2 + 4
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Solve:
(3x + 2y)(7x − 8y)
What is the result of 2y(3y² − 4y + 5)?
What is the product of (x + 3) and (x − 5)?
