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प्रश्न
Divide:
ax2 − ay2 by ax + ay
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उत्तर
\[\frac{a x^2 - a y^2}{ax + ay}\]
\[ = \frac{a( x^2 - y^2 )}{a(x + y)}\]
\[ = \frac{a(x + y)(x - y)}{a(x + y)}\]
\[ = x - y\]
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(5x2 − 6x) ÷ 3x
Write the degree of each of the following polynomials.
Divide 24a3b3 by −8ab.
Divide 5x3 − 15x2 + 25x by 5x.
Divide x4 − 2x3 + 2x2 + x + 4 by x2 + x + 1.
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
y4 + y2, y2 − 2
Find whether the first polynomial is a factor of the second.
4 − z, 3z2 − 13z + 4
Divide:
acx2 + (bc + ad)x + bd by (ax + b)
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
