en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4a+5)^2

Solution

expand

(4 a + 5)^{2}

Solution

16 a^{2} + 40 a + 25

Solution steps

(4 a + 5)^{2}

Apply Perfect Square Formula:

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

(4 a + 5)^{2} = (4 a)^{2} + 2 \cdot 4 a \cdot 5 + 5^{2}

= (4 a)^{2} + 2 \cdot 4 a \cdot 5 + 5^{2}

Simplify

(4 a)^{2} + 2 \cdot 4 a \cdot 5 + 5^{2} : 16 a^{2} + 40 a + 25

= 16 a^{2} + 40 a + 25

Popular Examples

simplify (x^2+6x-7)/(x^2-49)simplify

\frac{x ^{2} + 6 x - 7}{x ^{2} - 49}

simplify (5x^2+10x+20)/5 simplify

\frac{5 x ^{2} + 10 x + 20}{5}

simplify 9\times 1/3 simplify

9 \times \frac{1}{3}

expand (x^2-3)^3 expand

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

simplify-18/6 simplify

- \frac{18}{6}

Frequently Asked Questions (FAQ)

What is expand (4a+5)^2 ?
The solution to expand (4a+5)^2 is 16a^2+40a+25