What is factor a^4+4a^2m+4m^2 ?

The solution to factor a^4+4a^2m+4m^2 is (a^2+2m)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor a^4+4a^2m+4m^2

factor

a^{4} + 4 a^{2} m + 4 m^{2}

(a^{2} + 2 m)^{2}

Solution steps

a^{4} + 4 a^{2} m + 4 m^{2}

Break the expression into groups

= (a^{4} + 2 a^{2} m) + (2 a^{2} m + 4 m^{2})

Factor out

a^{2}

from

a^{4} + 2 a^{2} m : a^{2} (a^{2} + 2 m)

Factor out

2 m

from

2 a^{2} m + 4 m^{2} : 2 m (a^{2} + 2 m)

= a^{2} (a^{2} + 2 m) + 2 m (a^{2} + 2 m)

Factor out common term

a^{2} + 2 m

= (a^{2} + 2 m) (a^{2} + 2 m)

Apply exponent rule:

aa = a^{2}

(a^{2} + 2 m) (a^{2} + 2 m) = (a^{2} + 2 m)^{2}

= (a^{2} + 2 m)^{2}

\frac{2 ^{3} + 4 ^{2}}{( \frac{2}{3} ) ^{2}}

x^{4} + x - 2

5 x^{2} - 77 > x^{2} + 37 x

\frac{12}{8} = \frac{n}{4}

p^{2} + 14 p + 40

What is factor a^4+4a^2m+4m^2 ?
The solution to factor a^4+4a^2m+4m^2 is (a^2+2m)^2