Advertisements
Advertisements
Question
Multiply:
(2x + 8) by (x − 3)
Solution
To multiply the expressions, we will use the distributive law in the following way:
\[\left( 2x + 8 \right)\left( x - 3 \right)\]
\[ = 2x\left( x - 3 \right) + 8\left( x - 3 \right)\]
\[ = \left( 2x \times x - 2x \times 3 \right) + \left( 8x - 8 \times 3 \right)\]
\[ = \left( 2 x^2 - 6x \right) + \left( 8x - 24 \right)\]
\[ = 2 x^2 - 6x + 8x - 24\]
\[ = 2 x^2 + 2x - 24\]
Thus, the answer is \[2 x^2 + 2x - 24\].
APPEARS IN
RELATED QUESTIONS
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:
−5a(7a − 2b)
xy(x3 − y3)
Find the following product:
250.5xy \[\left( xz + \frac{y}{10} \right)\]
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:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Multiply:
16xy × 18xy
Solve the following equation.
6x − 1 = 3x + 8
