Question

Which expression is equivalent to 5(x – 0.8)

Answer 1

Find the equivalent expression for this: 3y(x + 9)

Step 1 :  The given algebra expression is 3y(x + 9)

Now we need to expand by applying distributive property.

Step 2 :  So, 3y(x + 9) = 3y • x + 3y • 9

                   = 3xy + 27y

Therefore, 3y(x + 9) ≡ 3xy + 27y.

Answer  :  3xy + 27y.

Find the equivalent expression for this: (x + 4)(x + 3)

Step 1 :  The given algebra expression is (x + 4)(x + 3)

Now we need to expand by applying distributive property.

Step 2 :  So, (x + 4)(x + 3) = x • (x + 3) + 4 • (x + 3)

                          = x • x + x • 3 + 4 • x + 4 • 3

                          = x2 + 3x + 4x + 12

                          = x2 + 7x + 12

Therefore, (x + 4)(x + 3) ≡ x2 + 7x + 12.

Answer  :  x2 + 7x + 12.