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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:
(−5a) × (−10a2) × (−2a3)
Find each of the following product:
(−4x2) × (−6xy2) × (−3yz2)
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
Write down the product of −8x2y6 and −20xy. Verify the product for x = 2.5, y = 1.
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Multiply:
(2x + 8) by (x − 3)
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Simplify:
(5x + 3)(x − 1)(3x − 2)
Simplify : (4m − 8n)2 + (7m + 8n)2
Multiply:
23xy2 × 4yz2
