Advertisements
Advertisements
प्रश्न
Multiply:
(2x + 8) by (x − 3)
Advertisements
उत्तर
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
संबंधित प्रश्न
Find each of the following product:
(7ab) × (−5ab2c) × (6abc2)
Evaluate (−8x2y6) × (−20xy) for x = 2.5 and y = 1.
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Multiply:
(5x + 3) by (7x + 2)
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
Simplify : (2x − 1)(2x + 1)(4x2 + 1)(16x4 + 1)
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.
6x − 1 = 3x + 8
