Advertisements
Advertisements
Question
Find the following product:
2a3(3a + 5b)
Advertisements
Solution
To find the product, we will use distributive law as follows:
\[2 a^3 \left( 3a + 5b \right)\]
\[ = 2 a^3 \times 3a + 2 a^3 \times 5b\]
\[ = \left( 2 \times 3 \right)\left( a^3 \times a \right) + \left( 2 \times 5 \right) a^3 b\]
\[ = \left( 2 \times 3 \right) a^{3 + 1} + \left( 2 \times 5 \right) a^3 b\]
\[ = 6 a^4 + 10 a^3 b\]
Thus, the answer is \[6 a^4 + 10 a^3 b\].
RELATED QUESTIONS
Find the following product:
0.1y(0.1x5 + 0.1y)
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
(2xy + 3y2) (3y2 − 2)
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: \[\left( \frac{1}{3}x - \frac{y^2}{5} \right)\left( \frac{1}{3}x + \frac{y^2}{5} \right)\]
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
Multiply:
(4x + 5y) × (9x + 7y)
Which formula represents multiplication of powers with the same base?
