(4a-9)^2 multiply and simplify completely

Question

asked Jul 8, 2023 36.3k views

1 Answer

Hellonearthis · Answer 1 · 2023-07-14T18:41:39+0000

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.

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