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प्रश्न
Simplify : (m2 − n2m)2 + 2m3n2
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उत्तर
To simplify, we will proceed as follows:
\[ \left( m^2 - n^2 m \right)^2 + 2 m^3 n^2 \]
\[ = \left( m^2 \right)^2 + \left( n^2 m \right)^2 \left[ \because \left( a - b \right)^2 + 2ab = a^2 + b^2 \right]\]
\[ = m^4 + n^4 m^2 \]
संबंधित प्रश्न
Express each of the following product as a monomials and verify the result in each case for x = 1:
(4x2) × (−3x) × \[\left( \frac{4}{5} x^3 \right)\]
Express each of the following product as a monomials and verify the result in each case for x = 1:
(x2)3 × (2x) × (−4x) × (5)
Evaluate (2.3a5b2) × (1.2a2b2) when a = 1 and b = 0.5.
Find the following product:
0.1y(0.1x5 + 0.1y)
Multiply \[- \frac{3}{2} x^2 y^3 by (2x - y)\] and verify the answer for x = 1 and y = 2.
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Find the following product and verify the result for x = − 1, y = − 2:
(3x − 5y) (x + y)
Simplify:
x2(x + 2y) (x − 3y)
Simplify : (2.5p − 1.5q)2 − (1.5p − 2.5q)2
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
