Use a = 8 and b = 24 to work out the value of these expressions. b) ab c) b/a d) (a + b) ^2

b. 192

c. 3

d. 1,024

Step-by-step explanation:

We know that a=8 and b=24, so we can substitute 8 in for a and b in for 24 in each expression.

b. ab

a*b

a=8

b=24

8*24

Multiply 8 and 24

192

ab=192

c. b/a

b/a

b=24

a=8

24/8

Divide 24 by 8

3

b/a=3

d. (a+b) ^2

a=8

b=24

(8+24) ^2

Add inside the parentheses first.

(32) ^2

Solve the exponent. 32^2 is the same as 32*32, which is equal to 1,024

1,024

(a+b) ^2=1,024

Step-by-step explanation:

a * b = 8 * 24 = 192

b : a = 24 : 8 = 3

(a+b) ^2 = a^2 + 2 * a * b + b^2 = 8^2 + 2 * 8 * 24 + 24^2

(a+b) ^2 = 64 + 384 + 576 = 1024