What is expand (e-fk)(e-efk+fk) ?

The solution to expand (e-fk)(e-efk+fk) is e^2-e^2kf+ek^2f^2-k^2f^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (e-fk)(e-efk+fk)

expand

(e - f k) (e - e f k + f k)

e^{2} - e^{2} k f + e k^{2} f^{2} - k^{2} f^{2}

Solution steps

(e - f k) (e - e f k + f k)

= (e - k f) (e - e k f + k f)

Distribute parentheses

= ee + e (- e f k) + e f k + (- f k) e + (- f k) (- e f k) + (- f k) f k

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= ee - ee k f + e k f - e k f + e kk ff - kk ff

Simplify

ee - ee k f + e k f - e k f + e kk ff - kk ff : e^{2} - e^{2} k f + e k^{2} f^{2} - k^{2} f^{2}

= e^{2} - e^{2} k f + e k^{2} f^{2} - k^{2} f^{2}

\frac{248 ( s + 5 )}{s ( s + 4 ) ( s ^{2} + 4 )}

(x^{2} - 2 x + 9)^{7}

(v + v^{2} + 1)^{2}

\frac{2 x ^{2} + 9 x - 5}{6 x ( 4 x - 5 )}

(m + 1)^{2}

What is expand (e-fk)(e-efk+fk) ?
The solution to expand (e-fk)(e-efk+fk) is e^2-e^2kf+ek^2f^2-k^2f^2