en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3a+5b)^2

Solution

expand

(3 a + 5 b)^{2}

Solution

9 a^{2} + 30 ab + 25 b^{2}

Solution steps

(3 a + 5 b)^{2}

Apply Perfect Square Formula:

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

(3 a + 5 b)^{2} = (3 a)^{2} + 2 \cdot 3 a \cdot 5 b + (5 b)^{2}

= (3 a)^{2} + 2 \cdot 3 a \cdot 5 b + (5 b)^{2}

Simplify

(3 a)^{2} + 2 \cdot 3 a \cdot 5 b + (5 b)^{2} : 9 a^{2} + 30 ab + 25 b^{2}

= 9 a^{2} + 30 ab + 25 b^{2}

Popular Examples

expand (s+10)^2 expand

(s + 10)^{2}

expand (2x+3)(4x^2-6x+9)expand

(2 x + 3) (4 x^{2} - 6 x + 9)

simplify e^{ln(z)}simplify

e^{l n (z)}

simplify (s+1)^2+1 simplify

(s + 1)^{2} + 1

simplify 2/5 \times 3/4 simplify

\frac{2}{5} \times \frac{3}{4}

Frequently Asked Questions (FAQ)

What is expand (3a+5b)^2 ?
The solution to expand (3a+5b)^2 is 9a^2+30ab+25b^2