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प्रश्न
Multiply:
[−3d + (−7f)] by (5d + f)
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उत्तर
To multiply, we will use distributive law as follows:
\[\left[ - 3d + \left( - 7f \right) \right]\left( 5d + f \right)\]
\[ = \left( - 3d \right)\left( 5d + f \right) + \left( - 7f \right)\left( 5d + f \right)\]
\[ = \left( - 15 d^2 - 3df \right) + \left( - 35df - 7 f^2 \right)\]
\[ = - 15 d^2 - 3df - 35df - 7 f^2 \]
\[ = - 15 d^2 - 38df - 7 f^2 \]
Thus, the answer is \[- 15 d^2 - 38df - 7 f^2\].
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
Find the following product:
0.1y(0.1x5 + 0.1y)
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Multiply:
(7x + y) by (x + 5y)
Multiply:
(a − 1) by (0.1a2 + 3)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Solve the following equation.
5(x + 1) = 74
What is the product of 3x and 4x²?
