Question

Factorise (9x2 - 12xy + 4y2) - 25z2.​

Answer 1

Answer:

9x2+12xy+4y2

Final result :

(3x + 2y)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((9 • (x2)) + 12xy) + 22y2

Step 2 :

Equation at the end of step 2 :

(32x2 + 12xy) + 22y2

Step 3 :

Trying to factor a multi variable polynomial :

3.1 Factoring 9x2 + 12xy + 4y2

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

Found a factorization : (3x + 2y)•(3x + 2y)

Detecting a perfect square :

3.2 9x2 +12xy +4y2 is a perfect square

It factors into (3x+2y)•(3x+2y)

which is another way of writing (3x+2y)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 :

(3x + 2y)2

Answer 2

i need this answer does anybody else knows