Question

Simplify each expression.a. 3+5 · 3² + 5²=b. 3 + 5(3² + 5²) =c. (3+5) (3² +5²)=

Answer 1

a.

$3+5\cdot3^2+5^2$

We need to solve the powers first, then solve the multiplication and sums:

$3+5\cdot3^2+5^2=3+5\cdot3\cdot3+5\cdot5=3+45+25=73$

The simplified expression for a is 78

b.

$3+5(3^2+5^2)$

Here, first solve the powers, then solve the parentheses and the rest:

$3+5(3^2+5^2)=3+5(3\cdot3+5\cdot5)=3+5(9+25)=3+5\cdot34=170+3=173$

The answer to b is 173

c.

$(3+5)(3^2+5^2)=8(3\cdot3+5\cdot5)=8(9+25)=8\cdot34=272$

THe answer to c is 272