Advertisements
Advertisements
प्रश्न
Simplify : (m2 − n2m)2 + 2m3n2
Advertisements
उत्तर
To simplify, we will proceed as follows:
\[ \left( m^2 - n^2 m \right)^2 + 2 m^3 n^2 \]
\[ = \left( m^2 \right)^2 + \left( n^2 m \right)^2 \left[ \because \left( a - b \right)^2 + 2ab = a^2 + b^2 \right]\]
\[ = m^4 + n^4 m^2 \]
APPEARS IN
संबंधित प्रश्न
Find each of the following product: \[\left( \frac{- 24}{25} x^3 z \right) \times \left( - \frac{15}{16}x z^2 y \right)\]
Find each of the following product: \[\left( \frac{4}{3}p q^2 \right) \times \left( - \frac{1}{4} p^2 r \right) \times \left( 16 p^2 q^2 r^2 \right)\]
Evaluate (−8x2y6) × (−20xy) for x = 2.5 and y = 1.
Find the following product:
4.1xy(1.1x − y)
Multiply:
(0.8a − 0.5b) by (1.5a − 3b)
(2xy + 3y2) (3y2 − 2)
Simplify:
x2(x − y) y2(x + 2y)
Show that: (3x + 7)2 − 84x = (3x − 7)2
Solve the following equation.
2(x − 4) = 4x + 2
Solve the following equation.
5(x + 1) = 74
