展开 3((x+h)-1)^2

解答

展开

3 ((x + h) - 1)^{2}

6 x h + 3 x^{2} - 6 x + 3 h^{2} - 6 h + 3

求解步骤

3 ((x + h) - 1)^{2}

去除括号:

(a) = a

= 3 (x + h - 1)^{2}

(x + h - 1)^{2} = 2 x h + x^{2} - 2 x + h^{2} - 2 h + 1

= 3 (x^{2} + 2 x h - 2 x + h^{2} + 1 - 2 h)

打开括号

= 3 \cdot 2 x h + 3 x^{2} + 3 (- 2 x) + 3 h^{2} + 3 (- 2 h) + 3 \cdot 1

使用加减运算法则

+ (- a) = - a

= 3 \cdot 2 x h + 3 x^{2} - 3 \cdot 2 x + 3 h^{2} - 3 \cdot 2 h + 3 \cdot 1

化简

3 \cdot 2 x h + 3 x^{2} - 3 \cdot 2 x + 3 h^{2} - 3 \cdot 2 h + 3 \cdot 1 : 6 x h + 3 x^{2} - 6 x + 3 h^{2} - 6 h + 3

= 6 x h + 3 x^{2} - 6 x + 3 h^{2} - 6 h + 3

e x p an d - sin (π t) (i - j)

e x p an d s (1 + t, - 2 + 5 t, 21 + 2 t)

e x p an d (y + x) d y - (y - x) d x

e x p an d \frac{19 x + 12}{x ( x + 1 ) ( x + 2 )}

e x p an d \frac{2 n + 4}{( 2 n + 1 ) ( 2 n + 3 )}