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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 the following product: \[\frac{7}{5} x^2 y\left( \frac{3}{5}x y^2 + \frac{2}{5}x \right)\]
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Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
What is the result of 2y(3y² − 4y + 5)?
What is (−4ab) × (2a²b³)?
