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प्रश्न
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
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उत्तर
\[\frac{32 m^2 n^3 p^2}{4mnp}\]
\[ = \frac{32 \times m \times m \times n \times n \times n \times p \times p}{4 \times m \times n \times p}\]
\[ = 8 m^{(2 - 1)} n^{(3 - 1)} p^{(2 - 1)} \]
\[ = 8m n^2 p\]
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Divide x2 + 7x + 12 by x + 4.
Divide 2y5 + 10y4 + 6y3 + y2 + 5y + 3 by 2y3 + 1.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 6y5 + 4y4 + 4y3 + 7y2 + 27y + 6 | 2y3 + 1 |
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Using division of polynomials, state whether
2x2 − x + 3 is a factor of 6x5 − x4 + 4x3 − 5x2 − x − 15
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
5y3 − 6y2 + 6y − 1, 5y − 1
Divide:
x4 − y4 by x2 − y2
