My collection of Problems 1

Algebra Level 1

If $a \oplus b = \left( a+b \right) ^{ 2 }$ , what is the value of $3\oplus 1$ ?

The answer is 16.

3 solutions

Thu Garner
Aug 11, 2014

a = 3, b = 1 Substitute it into the given equation

$(3+1)^{2}$

$(4)^{2}$

$\boxed{16}$

Easy! -_-

Anik Mandal - 6 years, 10 months ago

Why could I not square the 3 to get:9 then square the 1 to get:1 add them together to equal ten?

Lenny Bisignaro - 6 years, 9 months ago

$(a+b)^{2}=a^{2}+2ab+b^{2}$ not $a^{2}+b^{2}$ so your method was off by $2 \times a \times b$

Brett Hartley - 6 years, 9 months ago

What an easy one.

Hon Ming Rou - 6 years, 9 months ago

Zackchan Fox
Sep 2, 2015

It's simple just read the question and substitute( substitution is one of the four major things done in algebra) and you will see that if a#b = (a+b) squared so substitute a and b for 3 and 1 and you get (3+1) squared By the way I am actually 13

Tarika Jain
Dec 16, 2014

Substitute the value of a & b in the equation.

My collection of Problems 1

The answer is 16.

3 solutions

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