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प्रश्न
Multiply:
(2x2 − 1) by (4x3 + 5x2)
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उत्तर
To multiply, we will use distributive law as follows:
\[\left( 2 x^2 - 1 \right)\left( 4 x^3 + 5 x^2 \right)\]
\[ = 2 x^2 \left( 4 x^3 + 5 x^2 \right) - 1\left( 4 x^3 + 5 x^2 \right)\]
\[ = 8 x^5 + 10 x^4 - 4 x^3 - 5 x^2\]
Thus, the answer is \[8 x^5 + 10 x^4 - 4 x^3 - 5 x^2\].
संबंधित प्रश्न
Find each of the following product:
5x2 × 4x3
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Find the product −3y(xy + y2) and find its value for x = 4 and y = 5.
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
Find the following product and verify the result for x = − 1, y = − 2:
(x2y − 1) (3 − 2x2y)
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
Multiply:
(4x + 5y) × (9x + 7y)
