簡約 ((4a^2h^2-8a^3h+3a^4))/((2a^2))

解

簡約

\frac{( 4 a ^{2} h ^{2} - 8 a ^{3} h + 3 a ^{4} )}{( 2 a ^{2} )}

\frac{( 2 h - a ) ( 2 h - 3 a )}{2}

解答ステップ

\frac{4 a ^{2} h ^{2} - 8 a ^{3} h + 3 a ^{4}}{2 a ^{2}}

因数

4 h^{2} a^{2} - 8 h a^{3} + 3 a^{4} : a^{2} (4 h^{2} - 8 ha + 3 a^{2})

= \frac{a ^{2} ( 4 h ^{2} - 8 ha + 3 a ^{2} )}{2 a ^{2}}

因数

4 h^{2} - 8 ha + 3 a^{2} : (2 h - a) (2 h - 3 a)

= \frac{a ^{2} ( 2 h - a ) ( 2 h - 3 a )}{2 a ^{2}}

共通因数を約分する:

a^{2}

= \frac{( 2 h - a ) ( 2 h - 3 a )}{2}