Advertisements
Advertisements
प्रश्न
Divide:
x4 − y4 by x2 − y2
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
Divide the given polynomial by the given monomial.
(3y8 − 4y6 + 5y4) ÷ y4
Write the degree of each of the following polynomials.
2x2 + 5x2 − 7
Write the degree of each of the following polynomials.
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Divide 6x3 − x2 − 10x − 3 by 2x − 3 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 |
6y5 − 28y3 + 3y2 + 30y − 9 | 2y2 − 6 |
Find whether the first polynomial is a factor of the second.
4y + 1, 8y2 − 2y + 1
Divide:
(a2 + 2ab + b2) − (a2 + 2ac + c2) by 2a + b + c
Divide: 8x − 10y + 6c by 2
Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`