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प्रश्न
Multiply:
(7x + y) by (x + 5y)
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उत्तर
To multiply, we will use distributive law as follows:
\[\left( 7x + y \right)\left( x + 5y \right)\]
\[ = 7x\left( x + 5y \right) + y\left( x + 5y \right)\]
\[ = 7 x^2 + 35xy + xy + 5 y^2 \]
\[ = 7 x^2 + 36xy + 5 y^2\]
Thus, the answer is \[7 x^2 + 36xy + 5 y^2\].
संबंधित प्रश्न
Find each of the following product:
−3a2 × 4b4
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]
Simplify: 4ab(a − b) − 6a2(b − b2) − 3b2(2a2 − a) + 2ab(b − a)
Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Multiply:
(x2 + y2) by (3a + 2b)
Multiply:
(2x2 − 1) by (4x3 + 5x2)
Find the following product and verify the result for x = − 1, y = − 2: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Solve:
(3x + 2y)(7x − 8y)
