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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
Simplify: a(b − c) + b(c − a) + c(a − b)
Simplify: 2a2 + 3a(1 − 2a3) + a(a + 1)
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Multiply:
(3x2y − 5xy2) by \[\left( \frac{1}{5} x^2 + \frac{1}{3} y^2 \right)\].
Simplify:
x2(x + 2y) (x − 3y)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Multiply:
16xy × 18xy
Multiply:
(12a + 17b) × 4c
What is the product of (x + 3) and (x − 5)?
