Question

factorize : 4x²+25y²+9z²- 20xy - 30yz + 12zx​

Answer 1

Answer:

(a+b+c)2=a2+b2+c2+2ab+2bc+2ca

2x+5y+3z

• ans is(2×-5y+3z)2

Answer 2

Answer:(2x+5y-3z)^2

Step-by-step explanation:

The equation is in the form of (a+b-c)^2 which is equal to a^2 + b^2 + c^2 + ab^2 - bc^2 - ac^2

Then according to question and the formula:

4x^2 is a^2, 25y^2 is b^2, 9z^2 is c^2, 20xy is ab^2, -30yz is -bc^2, -12xz is -ac^2

1. 4x^2 +25y^2 +9z^2 +20xy -30yz -12xz = a^2 +b^2 +c^2 +ab^2 -bc^2 -ca^2
2. (2x +5y -3z)^2 = (a +b -c)^2