展开 0.015*(3.44-106.4x+867x^2-1264x^3)^2

解答

展开

0.015 \cdot (3.44 - 106.4 x + 867 x^{2} - 1264 x^{3})^{2}

23965.44 x^{6} - 32876.64 x^{5} + 15310.023 x^{4} - 2897.9088 x^{3} + 259.2888 x^{2} - 10.98048 x + 0.177504

求解步骤

0.015 (3.44 - 106.4 x + 867 x^{2} - 1264 x^{3})^{2}

(3.44 - 106.4 x + 867 x^{2} - 1264 x^{3})^{2} = 1597696 x^{6} - 2191776 x^{5} + 1020668.2 x^{4} - 193193.92 x^{3} + 17285.92 x^{2} - 732.032 x + 11.8336

= 0.015 (1597696 x^{6} - 2191776 x^{5} + 1020668.2 x^{4} - 193193.92 x^{3} + 17285.92 x^{2} - 732.032 x + 11.8336)

打开括号

= 0.015 \cdot 1597696 x^{6} + 0.015 (- 2191776 x^{5}) + 0.015 \cdot 1020668.2 x^{4} + 0.015 (- 193193.92 x^{3}) + 0.015 \cdot 17285.92 x^{2} + 0.015 (- 732.032 x) + 0.015 \cdot 11.8336

使用加减运算法则

+ (- a) = - a

= 1597696 \cdot 0.015 x^{6} - 2191776 \cdot 0.015 x^{5} + 0.015 \cdot 1020668.2 x^{4} - 0.015 \cdot 193193.92 x^{3} + 0.015 \cdot 17285.92 x^{2} - 0.015 \cdot 732.032 x + 0.015 \cdot 11.8336

化简

1597696 \cdot 0.015 x^{6} - 2191776 \cdot 0.015 x^{5} + 0.015 \cdot 1020668.2 x^{4} - 0.015 \cdot 193193.92 x^{3} + 0.015 \cdot 17285.92 x^{2} - 0.015 \cdot 732.032 x + 0.015 \cdot 11.8336 : 23965.44 x^{6} - 32876.64 x^{5} + 15310.023 x^{4} - 2897.9088 x^{3} + 259.2888 x^{2} - 10.98048 x + 0.177504

= 23965.44 x^{6} - 32876.64 x^{5} + 15310.023 x^{4} - 2897.9088 x^{3} + 259.2888 x^{2} - 10.98048 x + 0.177504

e x p an d 2584.72 \cdot (x + y - 0.08)^{2}

e x p an d a (1, 2) + b (3, - 1)

e x p an d \frac{( x \cdot ln ( x ^{2} + 1 ) )}{( x ^{2} + 1 ) ^{3}}

e x p an d 2 (\frac{e ^{t}}{t} + \frac{- e ^{t} + 1}{t ^{2}})

e x p an d \frac{( - x ^{2} + 2 x + 1 )}{( 1 + x ^{2} ) ^{2}}