Advertisements
Advertisements
प्रश्न
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[\left( 3x - 2 \right)\left( 2x - 3 \right) + \left( 5x - 3 \right)\left( x + 1 \right)\]
\[ = \left[ \left( 3x - 2 \right)\left( 2x - 3 \right) \right] + \left[ \left( 5x - 3 \right)\left( x + 1 \right) \right]\]
\[= \left[ 3x\left( 2x - 3 \right) - 2\left( 2x - 3 \right) \right] + \left[ 5x\left( x + 1 \right) - 3\left( x + 1 \right) \right]\] (Distributive law)
\[= 6 x^2 - 9x - 4x + 6 + 5 x^2 + 5x - 3x - 3\]
\[= 6 x^2 + 5 x^2 - 9x - 4x + 5x - 3x - 3 + 6\] (Rearranging)
\[= 11 x^2 - 11x + 3\] (Combining like terms)
Thus, the answer is \[11 x^2 - 11x + 3\].
APPEARS IN
संबंधित प्रश्न
Find each of the following product:
(2.3xy) × (0.1x) × (0.16)
Find the following product:
−5a(7a − 2b)
Find the following product:
1.5x(10x2y − 100xy2)
Find the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
Simplify: x(x + 4) + 3x(2x2 − 1) + 4x2 + 4
Simplify: a(b − c) + b(c − a) + c(a − b)
Simplify: 4ab(a − b) − 6a2(b − b2) − 3b2(2a2 − a) + 2ab(b − a)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Simplify:
x2(x + 2y) (x − 3y)
Multiply:
(12a + 17b) × 4c
