Answer: (6a + 5b) • (6a - 5b)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(36 • (a2)) - 52b2
Step 2 :
Equation at the end of step 2 :
(22•32a2) - 52b2
Step 3 :
Trying to factor as a Difference of Squares :
3.1 Factoring: 36a2-25b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 36 is the square of 6
Check : 25 is the square of 5
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (6a + 5b) • (6a - 5b)
Final result :
(6a + 5b) • (6a - 5b)
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The Associative Property allows you to "regroup" addition and multiplication problems. You can group this problem in two other ways,
(8 + 4) + 3 and (8 + 3) + 4.
<u>Congruency</u> property relates to two or more <em>triangles</em> with similar <em>dimensions</em>, and internal<u> angles</u>. So that the required <u>statements</u> to complete the proof are:
1. <em>definition</em> of a <u>straight</u> angle.
2. <u>subtraction</u> property of equality
3. <em>corresponding</em> sides of <u>similar</u> triangles are <u>proportional</u>
4.<u> transitive</u> property of <em>equality</em>.
The <u>intersection</u> of two or more lines forms a number of <em>angles</em> which depends on the <u>number</u> of lines involved. These <u>angles</u> formed may have <em>similar</em> or<em> different </em>properties.
When two or more <u>triangles</u> have <em>similar</em> lengths of <u>sides</u> and measure internal <u>angles</u>, it can be said that they are congruent. Thus they have some <u>common</u> properties.
Therefore, the appropriate <u>statements</u> to answer the given <em>question </em>are stated below:
- <em>Definition</em> of a <u>straight</u> angle.
- <u>Subtraction</u> property of equality.
- <em>Corresponding</em> sides of <u>similar</u> triangles are <u>proportional.</u>
- <u>Transitive</u> property of <em>equality</em>.
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/15835221
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