因数 4a-7x^2a+ya+4z-7x^2z+yz

解

因数

4 a - 7 x^{2} a + y a + 4 z - 7 x^{2} z + yz

(a + z) (4 - 7 x^{2} + y)

解答ステップ

4 a - 7 x^{2} a + y a + 4 z - 7 x^{2} z + yz

共通項をくくり出す

4

= 4 (a + z) - 7 x^{2} a + y a - 7 x^{2} z + yz

共通項をくくり出す

7 x^{2}

= 4 (a + z) - 7 x^{2} (a + z) + y a + yz

共通項をくくり出す

(a + z)

= (a + z) (4 - 7 x^{2}) + y a + yz

共通項をくくり出す

y

= (a + z) (4 - x^{2} \cdot 7) + y (a + z)

共通項をくくり出す

(a + z)

= (a + z) (4 - x^{2} \cdot 7 + y)