What is (16b^2+32b+16)/(4b+4) ?

The solution to (16b^2+32b+16)/(4b+4) is 4b+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (16b^2+32b+16)/(4b+4)

simplify

\frac{16 b ^{2} + 32 b + 16}{4 b + 4}

4 b + 4

Solution steps

\frac{16 b ^{2} + 32 b + 16}{4 b + 4}

Factor

16 b^{2} + 32 b + 16 : 16 (b + 1)^{2}

= \frac{16 ( b + 1 ) ^{2}}{4 b + 4}

Factor

4 b + 4 : 4 (b + 1)

= \frac{16 ( b + 1 ) ^{2}}{4 ( b + 1 )}

Factor the number:

16 = 4 \cdot 4

= \frac{4 \cdot 4 ( b + 1 ) ^{2}}{4 ( b + 1 )}

Cancel the common factor:

4

= \frac{4 ( b + 1 ) ^{2}}{b + 1}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(b + 1)^{2} = (b + 1) (b + 1)

= \frac{4 ( b + 1 ) ( b + 1 )}{b + 1}

Cancel the common factor:

b + 1

= 4 (b + 1)

Expand

4 (b + 1) : 4 b + 4

= 4 b + 4

\frac{x}{6} + \frac{1}{2} = \frac{1}{12}

x^{2} - 2 x = 15

22 x^{2} - 25 x y + 7 y^{2}

24 π = r (\frac{π}{4})

56 k^{4} - 24 k^{3} + 40 k^{2}