Advertisements
Advertisements
प्रश्न
Divide:
x4 − y4 by x2 − y2
Advertisements
उत्तर
\[ \frac{x^4 - y^4}{x^2 - y^2}\]
\[ = \frac{( x^2 )^2 - ( y^2 )^2}{( x^2 - y^2 )}\]
\[ = \frac{( x^2 + y^2 )( x^2 - y^2 )}{( x^2 - y^2 )}\]
\[ = x^2 + y^2\]
APPEARS IN
संबंधित प्रश्न
Which of the following expressions are not polynomials?
x2 + 2x−2
Which of the following expressions are not polynomials?
Write each of the following polynomials in the standard form. Also, write their degree.
Divide 9x2y − 6xy + 12xy2 by −\[\frac{3}{2}\]
Divide x4 + x2 + 1 by x2 + x + 1.
Divide 14x3 − 5x2 + 9x − 1 by 2x − 1 and find the quotient and remainder
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 14x2 + 13x − 15 | 7x − 4 |
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
