What is factor m^{4a+8}-25 ?

The solution to factor m^{4a+8}-25 is (m^{2(a+2)}+5)(m^{2(a+2)}-5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor m^{4a+8}-25

factor

m^{4 a + 8} - 25

(m^{2 (a + 2)} + 5) (m^{2 (a + 2)} - 5)

Solution steps

m^{4 a + 8} - 25

Factor

4 a + 8 : 4 (a + 2)

= m^{4 (a + 2)} - 25

Apply exponent rule:

a^{b c} = (a^{b})^{c}

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

= (m^{(a + 2)})^{4} - 25

Rewrite

(m^{(a + 2)})^{4} - 25

((m^{(a + 2)})^{2})^{2} - 5^{2}

= ((m^{(a + 2)})^{2})^{2} - 5^{2}

Apply Difference of Two Squares Formula:

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

((m^{(a + 2)})^{2})^{2} - 5^{2} = ((m^{(a + 2)})^{2} + 5) ((m^{(a + 2)})^{2} - 5)

= ((m^{(a + 2)})^{2} + 5) ((m^{(a + 2)})^{2} - 5)

Simplify

((m^{(a + 2)})^{2} + 5) ((m^{(a + 2)})^{2} - 5) : (m^{2 (a + 2)} + 5) (m^{2 (a + 2)} - 5)

= (m^{2 (a + 2)} + 5) (m^{2 (a + 2)} - 5)

0.09 x^{2} y^{4} - 121

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

e^{- j^{8} z} - e^{j^{8} z}

x^{3} + 3 x - 3 a - a^{3}

a y - y x - x^{2} + a x

What is factor m^{4a+8}-25 ?
The solution to factor m^{4a+8}-25 is (m^{2(a+2)}+5)(m^{2(a+2)}-5)