Advertisements
Advertisements
Question
Divide:
x4 − y4 by x2 − y2
Advertisements
Solution
\[ \frac{x^4 - y^4}{x^2 - y^2}\]
\[ = \frac{( x^2 )^2 - ( y^2 )^2}{( x^2 - y^2 )}\]
\[ = \frac{( x^2 + y^2 )( x^2 - y^2 )}{( x^2 - y^2 )}\]
\[ = x^2 + y^2\]
RELATED QUESTIONS
Write each of the following polynomials in the standard form. Also, write their degree.
a2 + 4 + 5a6
Write each of the following polynomials in the standard form. Also, write their degree.
Simplify:\[\frac{16 m^3 y^2}{4 m^2 y}\]
Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]
Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]
Divide 14x2 − 53x + 45 by 7x − 9.
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Using division of polynomials, state whether
x + 6 is a factor of x2 − x − 42
What must be added to x4 + 2x3 − 2x2 + x − 1 , so that the resulting polynomial is exactly divisible by x2 + 2x − 3?
