Question

b. 64 - 25x×2 + 60xy – 36y×2​

Answer 1

Answer:

=64 - 50x + 60xy - 72y is your answer.. hope it helps

Answer 2

Answer:

(5x+6y)2

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

((25 • (x2)) + 60xy) + (22•32y2)

STEP

2

:

Equation at the end of step

2

:

(52x2 + 60xy) + (22•32y2)

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 25x2 + 60xy + 36y2

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

Found a factorization : (5x + 6y)•(5x + 6y)

Detecting a perfect square :

3.2 25x2 +60xy +36y2 is a perfect square

It factors into (5x+6y)•(5x+6y)

which is another way of writing (5x+6y)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 :

(5x + 6y)2