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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)
Evaluate each of the following when x = 2, y = −1.
\[\left( \frac{3}{5} x^2 y \right) \times \left( - \frac{15}{4}x y^2 \right) \times \left( \frac{7}{9} x^2 y^2 \right)\]
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Multiply:
(3x2 + y2) by (2x2 + 3y2)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Solve the following equation.
5(x + 1) = 74
