What is factor (x-3)^2-64y^4 ?

The solution to factor (x-3)^2-64y^4 is (x-3+8y^2)(x-3-8y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x-3)^2-64y^4

factor

(x - 3)^{2} - 64 y^{4}

(x - 3 + 8 y^{2}) (x - 3 - 8 y^{2})

Solution steps

(x - 3)^{2} - 64 y^{4}

Simplify

64 y^{4} : (8 y^{2})^{2}

= (x - 3)^{2} - (8 y^{2})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x - 3)^{2} - (8 y^{2})^{2} = ((x - 3) + 8 y^{2}) ((x - 3) - 8 y^{2})

= ((x - 3) + 8 y^{2}) ((x - 3) - 8 y^{2})

Apply rule:

(a) = a

(x - 3) = x - 3

= (x - 3 + 8 y^{2}) (x - 3 - 8 y^{2})

2 x + 4 x

\frac{1}{65} (3) (23)^{2} - (\frac{1}{6} (3) (- 4)^{2})

9 r + 15 \geq 24 + 10 r

- 6 \leq \frac{6 - 4 x}{5} \leq 12

y^{2} + 6 y - 55

What is factor (x-3)^2-64y^4 ?
The solution to factor (x-3)^2-64y^4 is (x-3+8y^2)(x-3-8y^2)