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प्रश्न
Multiply:
(x6 − y6) by (x2 + y2)
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उत्तर
To multiply, we will use distributive law as follows:
\[\left( x^6 - y^6 \right)\left( x^2 + y^2 \right)\]
\[ = x^6 \left( x^2 + y^2 \right) - y^6 \left( x^2 + y^2 \right)\]
\[ = \left( x^8 + x^6 y^2 \right) - \left( y^6 x^2 + y^8 \right)\]
\[ = x^8 + x^6 y^2 - y^6 x^2 - y^8\]
Thus, the answer is \[x^8 + x^6 y^2 - y^6 x^2 - y^8\].
संबंधित प्रश्न
Find each of the following product:
\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]
Find each of the following product:
(7ab) × (−5ab2c) × (6abc2)
Simplify: 3a2 + 2(a + 2) − 3a(2a + 1)
Simplify: \[\frac{3}{2} x^2 ( x^2 - 1) + \frac{1}{4} x^2 ( x^2 + x) - \frac{3}{4}x( x^3 - 1)\]
Multiply:
(7x + y) by (x + 5y)
Multiply:
[−3d + (−7f)] by (5d + f)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
What is (−4ab) × (2a²b³)?
