en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((y+a)^2)/2

Solution

expand

\frac{( y + a ) ^{2}}{2}

Solution

\frac{y ^{2}}{2} + a y + \frac{a ^{2}}{2}

Solution steps

\frac{( y + a ) ^{2}}{2}

(y + a)^{2} = y^{2} + 2 a y + a^{2}

= \frac{y ^{2} + 2 a y + a ^{2}}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{y ^{2} + 2 y a + a ^{2}}{2} = \frac{y ^{2}}{2} + \frac{2 y a}{2} + \frac{a ^{2}}{2}

= \frac{y ^{2}}{2} + \frac{2 a y}{2} + \frac{a ^{2}}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{y ^{2}}{2} + a y + \frac{a ^{2}}{2}

Popular Examples

expand (t-1)2(\H(t-1)-\H(t-2))expand

(t - 1) 2 (H (t - 1) - H (t - 2))

((s+5))/((s+1)(s+3))

\frac{( s + 5 )}{( s + 1 ) ( s + 3 )}

expand e^{y(e^x-1)}expand

e^{y (e^{x} - 1)}

expand (3-5j)(7cis-(7pi)/4)^4-4+jsqrt(5)expand

(3 - 5 j) (7 c i s - \frac{7 π}{4})^{4} - 4 + j 5

expand (xy^2+y^2+x+1)dx+(x^2y^3-y^3)dy expand

(x y^{2} + y^{2} + x + 1) d x + (x^{2} y^{3} - y^{3}) d y

Frequently Asked Questions (FAQ)

What is expand ((y+a)^2)/2 ?
The solution to expand ((y+a)^2)/2 is (y^2)/2+ay+(a^2)/2