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1 vote
(4a-9)^2

multiply and simplify completely

User Biboozz
by
9.4k points

1 Answer

7 votes

Answer:


16{a}^(2)-72a+81

Explanation:

1) Use Square of Difference:
{(a-b)}^(2)={a}^(2)-2ab+{b}^(2).


{(4a)}^(2)-2* 4a* 9+{9}^(2)

2) Use Multiplication Distributive Property:
{(xy)}^(a)={x}^(a){y}^(a)


{4}^(2){a}^(2)-2* 4a* 9+{9}^(2)

3) Simplify
{4}^(2) to 16


16{a}^(2)-2* 4a* 9+{9}^(2)

4) Simplify
{9}^(2) to 81


16{a}^(2)-2* 4a* 9+81

5) Simplify
2* 4a* 9 to 72a.


16{a}^(2)-72a+81

User Hellonearthis
by
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