Advertisements
Advertisements
Question
Simplify : (m2 − n2m)2 + 2m3n2
Advertisements
Solution
To simplify, we will proceed as follows:
\[ \left( m^2 - n^2 m \right)^2 + 2 m^3 n^2 \]
\[ = \left( m^2 \right)^2 + \left( n^2 m \right)^2 \left[ \because \left( a - b \right)^2 + 2ab = a^2 + b^2 \right]\]
\[ = m^4 + n^4 m^2 \]
RELATED QUESTIONS
Find each of the following product:
\[\left( - \frac{1}{27} a^2 b^2 \right) \times \left( \frac{9}{2} a^3 b^2 c^2 \right)\]
Simplify: 3a2 + 2(a + 2) − 3a(2a + 1)
Multiply: \[\left( \frac{3}{5}x + \frac{1}{2}y \right) by \left( \frac{5}{6}x + 4y \right)\]
Multiply:
(2x2y2 − 5xy2) by (x2 − y2)
Simplify:
(x2 − 2y2) (x + 4y) x2y2
Simplify:
(5 − x)(6 − 5x)( 2 − x)
Simplify:
(3x + 2y)(4x + 3y) − (2x − y)(7x − 3y)
Show that: \[\left( \frac{4m}{3} - \frac{3n}{4} \right)^2 + 2mn = \frac{16 m^2}{9} + \frac{9 n^2}{16}\]
What is the product of 3x and 4x²?
What is the result of 2y(3y² − 4y + 5)?
