因式分解 (14w)^2-2(4w)-15

解答

因式分解

(14 w)^{2} - 2 (4 w) - 15

196 (w - \frac{2 + 739}{98}) (w - \frac{2 - 739}{98})

求解步骤

(14 w)^{2} - 2 (4 w) - 15

去除括号:

(a) = a

= (14 w)^{2} - 2 \cdot 4 w - 15

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

= 1 4^{2} w^{2} - 2 \cdot 4 w - 15

数字相乘:

2 \cdot 4 = 8

= 1 4^{2} w^{2} - 8 w - 15

改写为

= 1 4^{2} (w^{2} - \frac{2 w}{49} - \frac{15}{196})

因式分解

w^{2} - \frac{2 w}{49} - \frac{15}{196} : (w - \frac{2 + 739}{98}) (w - \frac{2 - 739}{98})

1 4^{2} (w - \frac{2 + 739}{98}) (w - \frac{2 - 739}{98})

1 4^{2} = 196

= 196 (w - \frac{2 + 739}{98}) (w - \frac{2 - 739}{98})

f a c t or 216 c^{15} - 125 a^{3} b^{9}

f a c t or + 10 w^{2} - 31 w + 15

f a c t or 4 x^{3} + 4 x y d x

f a c t or 2 ab + 2 c d + 4 a c + b d

f a c t or (- 7 x) + (18 x^{2})