Question

Find the factors of 8x2 + 40xy + 50y2​

Answer 1

Answer:

((8 • (x2)) - 40xy) - (2•52y2)

STEP

2

:

Equation at the end of step

2

:

(23x2 - 40xy) - (2•52y2)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

8x2 - 40xy - 50y2 = 2 • (4x2 - 20xy - 25y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 4x2 - 20xy - 25y2

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

Final result :

2 • (4x2 - 20xy - 25y2)

Answer 2

Step-by-step explanation:

→STEP1:

Equation at the end of step 1

((8 • (x2)) + 40xy) + (2•52y2)

→ STEP 2 :

Equation at the end of step 2:

(23x2 + 40xy) + (2•52y2)

STEP3:

→STEP4:

Pulling out like terms

4.1 Pull out like factors :

8x2 + 40xy + 50y2 = 2 • (4x2 + 20xy + 25y2)

Trying to factor a multi variable polynomial :

4.2 Factoring 4x2 + 20xy + 25y2

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

Found a factorization : (2x + 5y)•(2x + 5y)

Detecting a perfect square :

4.3 4x2 +20xy +25y2 is a perfect square

It factors into (2x+5y)•(2x+5y)

which is another way of writing (2x+5y)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 :

2 • (2x + 5y)2