Question

(2x-5y)2=4x²-20xy-25y​

Answer 1

Answer:

STEP 1 : Equation at the end of step 1

(2x - 5y) • (((4 • (x2)) + 20xy) + 52y2)

STEP 2 : Equation at the end of step

(2x - 5y) • ((22x2 + 20xy) + 52y2)

STEP 3 : Trying to factor a multi variable polynomial

3.1 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 :

3.2 4x2 +20xy +25y2 is a perfect square

It factors into (2x+5y)•(2x+5y)

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