en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (A-1)^2+(B-2)^2

Solution

simplify

(A - 1)^{2} + (B - 2)^{2}

Solution

A^{2} - 2 A + B^{2} - 4 B + 5

Solution steps

(A - 1)^{2} + (B - 2)^{2}

Expand

(A - 1)^{2} : A^{2} - 2 A + 1

= A^{2} - 2 A + 1 + (B - 2)^{2}

Expand

(B - 2)^{2} : B^{2} - 4 B + 4

= A^{2} - 2 A + 1 + B^{2} - 4 B + 4

Group like terms

= A^{2} - 2 A + B^{2} - 4 B + 1 + 4

Add the numbers:

1 + 4 = 5

= A^{2} - 2 A + B^{2} - 4 B + 5

Popular Examples

simplify (-15)/(-3)simplify

\frac{- 15}{- 3}

simplify (4x^2y^2)/(6x^2y^3)*(5a^2b^4)/(2ab^3)simplify

\frac{4 x ^{2} y ^{2}}{6 x ^{2} y ^{3}} \cdot \frac{5 a ^{2} b ^{4}}{2 a b ^{3}}

simplify 1/((x-y))(x^3-3x^2y+3xy^2-y^3)simplify

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

simplify-4x+2-x^2+2x-5+3x^2 simplify

- 4 x + 2 - x^{2} + 2 x - 5 + 3 x^{2}

simplify 5+11/12 simplify

5 + \frac{11}{12}

Frequently Asked Questions (FAQ)

What is (A-1)^2+(B-2)^2 ?
The solution to (A-1)^2+(B-2)^2 is A^2-2A+B^2-4B+5