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प्रश्न
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
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उत्तर
To simplify, we will proceed as follows:
\[\left( x^3 - 2 x^2 + 5x - 7 \right)\left( 2x - 3 \right)\]
\[ = 2x\left( x^3 - 2 x^2 + 5x - 7 \right) - 3\left( x^3 - 2 x^2 + 5x - 7 \right)\]
\[ = 2 x^4 - 4 x^3 + 10 x^2 - 14x - 3 x^3 + 6 x^2 - 15x + 21\]
\[= 2 x^4 - 4 x^3 - 3 x^3 + 10 x^2 + 6 x^2 - 14x - 15x + 21\] (Rearranging)
\[= 2 x^4 - 7 x^3 + 16 x^2 - 29x + 21\] (Combining like terms)
Thus, the answer is \[2 x^4 - 7 x^3 + 16 x^2 - 29x + 21\].
संबंधित प्रश्न
Find each of the following product:
\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]
Find each of the following product:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Find the following product: \[- \frac{8}{27}xyz\left( \frac{3}{2}xy z^2 - \frac{9}{4}x y^2 z^3 \right)\]
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
Multiply:
(2x2 − 1) by (4x3 + 5x2)
(2xy + 3y2) (3y2 − 2)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
Show that: (a − b)(a + b) + (b − c)(b + c) + (c − a)( c + a) = 0
