Advertisements
Advertisements
Question
Multiply:
(5x + 3) by (7x + 2)
Advertisements
Solution
To multiply, we will use distributive law as follows:
\[\left( 5x + 3 \right)\left( 7x + 2 \right)\]
\[ = 5x\left( 7x + 2 \right) + 3\left( 7x + 2 \right)\]
\[ = \left( 5x \times 7x + 5x \times 2 \right) + \left( 3 \times 7x + 3 \times 2 \right)\]
\[ = \left( 35 x^2 + 10x \right) + \left( 21x + 6 \right)\]
\[ = 35 x^2 + 10x + 21x + 6\]
\[ = 35 x^2 + 31x + 6\]
Thus, the answer is \[35 x^2 + 31x + 6\] .
RELATED QUESTIONS
Find each of the following product:
(−5xy) × (−3x2yz)
Express each of the following product as a monomials and verify the result in each case for x = 1:
(5x4) × (x2)3 × (2x)2
Evaluate (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Find the following product: \[\frac{4}{3}a( a^2 + b^2 - 3 c^2 )\]
Simplify: 3a2 + 2(a + 2) − 3a(2a + 1)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
(2xy + 3y2) (3y2 − 2)
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
