Question

B) 5h(3h-2)

c) 3p (4p^3 - 5m)

d) 4h^2 (3h +2g)

e) h(h^3 +7)

Expand and simplify. Apprised if you put attachment. Thanks

Answer 1

For these questions you’re distributing.

When multiplying exponents it’s quite simple

(x)(x)= x^2
(x^3)(x^3)= x^6

Raising a function with an exponent with another exponent
(x^4)^4 is x^16

So when two functions to a power are multiplied the exponents add. Then a function with an exponent is raised to another exponent, the exponents multiply.

b. 15h^2-10h
c. 12p^4-15pm
d. 12h^3+8h^2g
e. h^4+7h

Answer 2

b) 15h^2 - 10h

c) 12p^4 + 15mp

d) 12h^3 + 8gh^2

e) h^4 + 7h

Explanation:

b) 5h(3h-2)

5h(3h) + 5(-2)

15h^2 - 10h

c) 3p (4p^3 - 5m)

3p(4p^3) + 3p(5m)

12p^4 + 15mp

d) 4h^2 (3h +2g)

4h^2(3h) + 4h^2(2g)

12h^3 + 8gh^2

e) h(h^3 +7)

h(h^3) + h(7)

h^4 + 7h

Hope this helps!