$Simplify: (m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}$

Open in App

Solution

$Upon expansion using (a - b)^{2} identity$
$(a - b)^{2} = a^{2} - 2 a b + b^{2}$
$(m^{2})^{2} - 2 (m^{2}) (n^{2} m) + (n^{2} m)^{2} + 2 m^{3} n^{2}$
$m^{4} - 2 m^{3} n^{2} + (n^{2} m)^{2} + 2 m^{3} n^{2}$
$m^{4} + n^{4} m^{2} - 2 m^{3} n^{2} + 2 m^{3} n^{2}$
$m^{4} + m^{2} n^{4}$

Suggest Corrections

Similar questions

Simplify: (m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}

(m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}

(m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}

(m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}

Simplify:

$(i) (x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4})$ $(i i) (2 x - 1) (2 x + 1) (4 x^{2} + 1) (16 x^{4} + 1)$

$(i i i) (7 m - 8 n)^{2} + (7 m + 8 n)^{2}$ $(i v) (2.5 p - 1.5 q)^{2} - (1.5 p - 2.5 q)^{2}$

$(v) (m^{2} - n^{2} m)^{2} + 2 m^{3} n^{2}$

Join BYJU'S Learning Program