Question

factor using algebra== 25x^2+100xy+100y^2​

Answer 1

Answer:

25 • (x + 2y)2

Step-by-step explanation:

STEP 1 :-

((25 • (x2)) + 100xy) + (22•52y2)

STEP 2 :-

(52x2 + 100xy) + (22•52y2)

STEP 3 :-

Pulling out like terms

25x2 + 100xy + 100y2 = 25 • (x2 + 4xy + 4y2)

Trying to factor a multi variable polynomial :

Factoring x2 + 4xy + 4y2

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

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

Detecting a perfect square :

x2 +4xy +4y2 is a perfect square

It factors into (x+2y)•(x+2y) which is another way of writing (x+2y)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• 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 :

25 • (x + 2y)2

Answer 2

Answer:

25

Step-by-step explanation:

25 एक्स स्क्वायर प्लस 100 एक्स वाई प्लस वाई स्क्वायर