Advertisements
Advertisements
Question
Multiply:
[−3d + (−7f)] by (5d + f)
Advertisements
Solution
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 \[- 15 d^2 - 38df - 7 f^2\].
APPEARS IN
RELATED QUESTIONS
Find each of the following product: \[\left( \frac{- 24}{25} x^3 z \right) \times \left( - \frac{15}{16}x z^2 y \right)\]
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: \[\left( \frac{4}{3} u^2 vw \right) \times \left( - 5uv w^2 \right) \times \left( \frac{1}{3} v^2 wu \right)\]
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
Find the product 24x2 (1 − 2x) and evaluate its value for x = 3.
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
Multiply:
(7x + y) by (x + 5y)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Simplify : (m2 − n2m)2 + 2m3n2
Which formula represents multiplication of powers with the same base?
