Question

48x2 + 48xy2 + 12y4 =

Answer 1

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((48•(x2))+(48x•(y2)))+(22•3y4)

Step 2 :

Equation at the end of step 2 :

((48 • (x2)) + (24•3xy2)) + (22•3y4)

Step 3 :

Equation at the end of step 3 :

((24•3x2) + (24•3xy2)) + (22•3y4)

Step 4 :

Step 5 :

Pulling out like terms : 5.1

Pull out like factors :

48x2 + 48xy2 + 12y4 = 12 • (4x2 + 4xy2 + y4)

Trying to factor a multi variable polynomial :

5.2 Factoring 4x2 + 4xy2 + y4

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

Found a factorization : (2x + y2)•(2x + y2)

Detecting a perfect square :

5.3 4x2 +4xy2 +y4 is a perfect square

It factors into (2x+y2)•(2x+y2)

which is another way of writing (2x+y2)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 :

12 • (2x + y2)2

Hope this helps!

Answer 2

12y4+48xy2+48x2 that is the answer simplified