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प्रश्न
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
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उत्तर
To simplify, we will use distributive law as follows:
\[x^2 \left( x^2 + 1 \right) - x^3 \left( x + 1 \right) - x\left( x^3 - x \right)\]
\[ = x^4 + x^2 - x^4 - x^3 - x^4 + x^2 \]
\[ = x^4 - x^4 - x^4 - x^3 + x^2 + x^2 \]
\[ = - x^4 - x^3 + 2 x^2\]
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(3x) × (4x) × (−5x)
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−11a(3a + 2b)
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(0.8a − 0.5b) by (1.5a − 3b)
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify:
(3x − 2)(2x − 3) + (5x − 3)(x + 1)
Simplify:
(x3 − 2x2 + 3x − 4) (x −1) − (2x − 3)(x2 − x + 1)
Simplify : (4m − 8n)2 + (7m + 8n)2
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
Show that: (4pq + 3q)2 − (4pq − 3q)2 = 48pq2
Which formula represents multiplication of powers with the same base?
