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प्रश्न
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
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उत्तर
To simplify, we will use distributive law as follows:
\[x^3 y\left( x^2 - 2x \right) + 2xy\left( x^3 - x^4 \right)\]
\[ = x^5 y - 2 x^4 y + 2 x^4 y - 2 x^5 y\]
\[ = x^5 y - 2 x^5 y - 2 x^4 y + 2 x^4 y\]
\[ = - x^5 y\]
संबंधित प्रश्न
Find each of the following product:
\[\left( 0 . 5x \right) \times \left( \frac{1}{3}x y^2 z^4 \right) \times \left( 24 x^2 yz \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Find the following product:
−5a(7a − 2b)
Find the following product: \[- \frac{4}{27}xyz\left( \frac{9}{2} x^2 yz - \frac{3}{4}xy z^2 \right)\]
Simplify: 3a2 + 2(a + 2) − 3a(2a + 1)
Multiply: \[\left( - \frac{a}{7} + \frac{a^2}{9} \right)by\left( \frac{b}{2} - \frac{b^2}{3} \right)\].
Simplify:
(x3 − 2x2 + 5x − 7)(2x − 3)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Simplify : (x − y)(x + y) (x2 + y2)(x4 + y2)
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
