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Sladkaya [172]
2 years ago
9

Reasoning : Why is the numerator greater than

Mathematics
1 answer:
Digiron [165]2 years ago
5 0

Answer:

See the explanation

Step-by-step explanation:

When the numerator is less than the denominator, the result is always less than 1, that is 0. something and this will give a percentage less than 100, but when the numerator is greater than the denominator, th result is greater than 1, and any figure greater than 1 gives a percentage that is greater than 100

example

Numerator >Denominator

=4/2*100

=2*100

=200%

Numerator <Denominator

=2/4*100

=0/5*100

=50%

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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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