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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:
(2.3xy) × (0.1x) × (0.16)
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
Simplify: 4ab(a − b) − 6a2(b − b2) − 3b2(2a2 − a) + 2ab(b − a)
Multiply:
(2x + 8) by (x − 3)
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Multiply:
[−3d + (−7f)] by (5d + f)
Simplify:
a2b2(a + 2b)(3a + b)
Simplify:
(2x2 + 3x − 5)(3x2 − 5x + 4)
Multiply:
16xy × 18xy
Which formula represents multiplication of powers with the same base?
