How do you multiply ${(5 t + 9)}^{2}$ $(5t+9)^2$ ?

Question

How do you multiply ${(5 t + 9)}^{2}$ $(5t+9)^2$ ?

2 Answers

Impact of this question

2171 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-15T02:09:11

$25 t^{2} + 90 t + 81$ $25t^2 + 90t + 81$

Explanation:

Write out the problem:
$(5 t + 9) (5 t + 9)$ $(5t+9)(5t+9)$
Multiply each term by each other
$(5 t \cdot 5 t) + (5 t \cdot 9) + (9 \cdot 5 t) + (9 \cdot 9)$ $(5t * 5t) + (5t * 9) + (9 * 5t) + (9*9)$
$25 t^{2} + 45 t + 45 t + 81$ $25t^2 + 45t + 45t + 81$
Combine like terms:
$25 t^{2} + 90 t + 81 = {(5 t + 9)}^{2}$ $25t^2 + 90t + 81 = (5t+9)^2$

Answer 2 · 2015-12-15T02:10:24

$25 t^{2} + 90 t + 81$ $25t^2 + 90t + 81$

Explanation:

To square a binomial, use this formula:

${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ $(a+b)^2 = a^2 +2ab +b^2$

In this scenario:

${(5 t + 9)}^{2} = {(5 t)}^{2} + 2 (5 t) (9) + {(9)}^{2} = 25 t^{2} + 90 t + 81$ $(5t+9)^2 = (5t)^2 + 2(5t)(9) + (9)^2 = 25t^2 + 90t + 81$

Science

Math

Humanities

... and beyond

How do you multiply ${(5 t + 9)}^{2}$ $(5t+9)^2$ ?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you multiply (5t+9)^2(5t+9)2(5t+9)^2?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

How do you multiply ${(5 t + 9)}^{2}$ $(5t+9)^2$ ?