.simplify(2a+5)²-(a+3)(a-3)

Mathematics

2 answers:

Shtirlitz [24]3 years ago

6 0

Answer:

3a^2 + 20a + 34

Step-by-step explanation:

(2a + 5)^2 = 4a^2 + 20a + 25

(a +3)(a - 3) = a^2 - 9

Put these two partial answers together.

4a^2 + 20a + 25 -(a^2 -9 ) Remove the brackets.

4a^2 + 20a + 25 - a^2 + 9

3a^2 + 20a + 34

balandron [24]3 years ago

4 0

Answer: 3a² + 20a + 34

Concept:

When doing simplifying expressions, following the PEMDAS method would be easier.

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

When expanding parentheses, following the FOIL method would be easier.

First
Outer
Inner Last

Solve:

<u>Given expression</u>

(2a + 5)² - (a + 3) (a - 3)

<u>Simplify exponenets</u>

= (2a + 5) (2a + 5) - (a + 3) (a - 3)

<u>Expand parentheses</u>

= 4a² + 10a + 10a + 25 - (a² - 3a + 3a - 9)

= 4a² + 10a + 10a + 25 - a² + 3a - 3a + 9

<u>Combine like terms</u>

= 4a² - a² + 10a + 10a + 3a - 3a + 25 + 9

= 3a² + 20a + 34

Hope this helps!! :)

Please let me know if you have any questions

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