What is factor a^4+3a^2d^2-54d^4 ?

The solution to factor a^4+3a^2d^2-54d^4 is (a^2-6d^2)(a^2+9d^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^4+3a^2d^2-54d^4

factor

a^{4} + 3 a^{2} d^{2} - 54 d^{4}

(a^{2} - 6 d^{2}) (a^{2} + 9 d^{2})

Solution steps

a^{4} + 3 a^{2} d^{2} - 54 d^{4}

Break the expression into groups

= (a^{4} - 6 a^{2} d^{2}) + (9 a^{2} d^{2} - 54 d^{4})

Factor out

a^{2}

from

a^{4} - 6 a^{2} d^{2} : a^{2} (a^{2} - 6 d^{2})

Factor out

9 d^{2}

from

9 a^{2} d^{2} - 54 d^{4} : 9 d^{2} (a^{2} - 6 d^{2})

= a^{2} (a^{2} - 6 d^{2}) + 9 d^{2} (a^{2} - 6 d^{2})

Factor out common term

a^{2} - 6 d^{2}

= (a^{2} - 6 d^{2}) (a^{2} + 9 d^{2})

2 x - 4 = \frac{5 x + 6}{2}

- 5 (5 a - 5) - 2 = 48

9 \cdot 9^{2}

e^{- l n (y)}

(x + 8) 2 - 7 = 0

What is factor a^4+3a^2d^2-54d^4 ?
The solution to factor a^4+3a^2d^2-54d^4 is (a^2-6d^2)(a^2+9d^2)