Question

Write an algebraic expression for

Answer 1

Answer:

"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:

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

Step-by-step 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,

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