What is (fg^2+6hi)^2 ?

The solution to (fg^2+6hi)^2 is (f^2g^4-36h^2)+12fg^2hi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (fg^2+6hi)^2

simplify

(f g^{2} + 6 hi)^{2}

(f^{2} g^{4} - 36 h^{2}) + 12 f g^{2} hi

Solution steps

(f g^{2} + 6 hi)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(f g^{2} + 6 hi)^{2} = (f g^{2})^{2} + 2 f g^{2} \cdot 6 hi + (6 hi)^{2}

= (f g^{2})^{2} + 2 f g^{2} \cdot 6 hi + (6 hi)^{2}

(f g^{2})^{2} = f^{2} g^{4}

2 f g^{2} \cdot 6 hi = 12 f g^{2} hi

(6 hi)^{2} = - 36 h^{2}

= f^{2} g^{4} + 12 f g^{2} hi - 36 h^{2}

Rewrite in standard complex form:

(f^{2} g^{4} - 36 h^{2}) + 12 f g^{2} hi

= (f^{2} g^{4} - 36 h^{2}) + 12 f g^{2} hi

4 \cdot \frac{9}{4}

(x^{2} + 1) (x + 1) (x - 1)

\frac{5}{6} - \frac{8}{15}

\frac{1}{a ^{- 1} + b ^{- 1}}