What is factor (14w)^2-2(4w)-15 ?

The solution to factor (14w)^2-2(4w)-15 is 196(w-(2+sqrt(739))/(98))(w-(2-sqrt(739))/(98))

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factor (14w)^2-2(4w)-15

factor

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Apply exponent rule:

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

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

Multiply the numbers:

2 \cdot 4 = 8

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

Rewrite as

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

Factor

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})

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

+ 10 w^{2} - 31 w + 15

4 x^{3} + 4 x y d x

2 ab + 2 c d + 4 a c + b d

(- 7 x) + (18 x^{2})

What is factor (14w)^2-2(4w)-15 ?
The solution to factor (14w)^2-2(4w)-15 is 196(w-(2+sqrt(739))/(98))(w-(2-sqrt(739))/(98))