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प्रश्न
Simplify:
(5x − 3)(x + 2) − (2x + 5)(4x − 3)
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उत्तर
To simplify, we will proceed as follows:
\[\left( 5x - 3 \right)\left( x + 2 \right) - \left( 2x + 5 \right)\left( 4x - 3 \right)\]
\[ = \left[ \left( 5x - 3 \right)\left( x + 2 \right) \right] - \left[ \left( 2x + 5 \right)\left( 4x - 3 \right) \right]\]
\[= \left[ 5x\left( x + 2 \right) - 3\left( x + 2 \right) \right] - \left[ 2x\left( 4x - 3 \right) + 5\left( 4x - 3 \right) \right]\] (Distributive law)
\[= 5 x^2 + 10x - 3x - 6 - 8 x^2 + 6x - 20x + 15\]
\[= 5 x^2 - 8 x^2 + 10x - 3x + 6x - 20x - 6 + 15\] (Rearranging)
\[= 5 x^2 - 8 x^2 + 10x - 3x + 6x - 20x - 6 + 15\]
\[ = - 3 x^2 - 7x + 9\] (Combining like terms)
Hence, the answer is \[- 3 x^2 - 7x + 9\].
संबंधित प्रश्न
Find each of the following product:
5x2 × 4x3
Find each of the following product:
−3a2 × 4b4
Evaluate (3.2x6y3) × (2.1x2y2) when x = 1 and y = 0.5.
xy(x3 − y3)
Find the following product:
0.1y(0.1x5 + 0.1y)
Simplify: a(b − c) − b(c − a) − c(a − b)
Simplify: a2b(a − b2) + ab2(4ab − 2a2) − a3b(1 − 2b)
Simplify:
(x2 − 3x + 2)(5x − 2) − (3x2 + 4x − 5)(2x − 1)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
Multiply:
(4x + 5y) × (9x + 7y)
