簡約 (r^2+2r-3)+(3r^2-r-1)

解

簡約

(r^{2} + 2 r - 3) + (3 r^{2} - r - 1)

4 r^{2} + r - 4

解答ステップ

(r^{2} + 2 r - 3) + (3 r^{2} - r - 1)

簡素化

(r^{2} + 2 r - 3) + (3 r^{2} - r - 1) : r^{2} + 2 r - 3 + 3 r^{2} - r - 1

= r^{2} + 2 r - 3 + 3 r^{2} - r - 1

条件のようなグループ

= r^{2} + 3 r^{2} + 2 r - r - 3 - 1

類似した元を足す:

r^{2} + 3 r^{2} = 4 r^{2}

= 4 r^{2} + 2 r - r - 3 - 1

類似した元を足す:

2 r - r = r

= 4 r^{2} + r - 3 - 1

数を引く:

- 3 - 1 = - 4

= 4 r^{2} + r - 4