Question

Write an algebraic expression for

the verbal expression:
"5 times the sum of a squared and
b minus 3 times the sum of
a and b".​

Answer 1

"5 times the sum of a squared and b minus 3 times the sum of

a and b".​

• 5(a²+b) - 5(a+b)

which can be simplified such as:

`5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a`

Explanation:

Given the verbal expression

"5 times the sum of a squared and b minus 3 times the sum of

a and b".​

BREAKIN DOWN THE STATEMENT:

The sum of 'a' Squared and 'b' = a²+b

• 5 times the sum of a squared and b = 5(a²+b)

The sum of a and b = a+b

• 3 times the sum of a and b = 5(a+b)

Now, "5 times the sum of a squared and b minus 3 times the sum of

a and b".​

• 5(a²+b) - 5(a+b)

Let us simplify the algebraic expression

`5\left(a^2+b\right)-5\left(a+b\right)`

`=5a^2+5b-5a-5b`

simplify

`=5a^2-5a`

Thus,

`5\left(a^2+b\right)-5\left(a+b\right)=5a^2-5a`