Question

5. Of which of the binomials given 1/1
below is 25 a^2+60ab+36b2 ( 25a
square +60 ab +36 b square)the
expansion
i ม่
( 5m + 6n) square
O (5a + 6b ) square
3
(5a+ 6b) (5a-6b)
so the sloveing the sum​

Answer 1

Answer:

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Step-by-step explanation:

Step by Step Solution

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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

1

:

Equation at the end of step 1

((25 • (a2)) - 60ab) + (22•32b2)

STEP

2

:

Equation at the end of step

2

:

(52a2 - 60ab) + (22•32b2)

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 25a2 - 60ab + 36b2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (5a - 6b)•(5a - 6b)

Detecting a perfect square :

3.2 25a2 -60ab +36b2 is a perfect square

It factors into (5a-6b)•(5a-6b)

which is another way of writing (5a-6b)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

Final result :

(5a - 6b)2