化简 (m+n)^2*[(m+n)^2-2(m^2+n^2)]

解答

化简

(m + n)^{2} \cdot [(m + n)^{2} - 2 (m^{2} + n^{2})]

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

求解步骤

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

展开

(m + n)^{2} : m^{2} + 2 mn + n^{2}

= (m + n)^{2} (m^{2} + 2 mn + n^{2} - 2 (m^{2} + n^{2}))

展开

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

= (m + n)^{2} (m^{2} + 2 mn + n^{2} - 2 m^{2} - 2 n^{2})

化简

m^{2} + 2 mn + n^{2} - 2 m^{2} - 2 n^{2} : - m^{2} + 2 mn - n^{2}

= (m + n)^{2} (- m^{2} + 2 mn - n^{2})

f a c t or - x^{2} - 29 x - 156

s im pl i f y o (\frac{n ^{2}}{lo g _{10} ( n )})

f a c t or 36 x^{3} y^{2} - 18 x^{2} y

s im pl i f y 8 (\frac{( 6 - 4 x )}{3}) + 3 x + 7

s im pl i f y \frac{x ^{2} - 9 x + 20}{x - 5}