Question

Factorise 9x+y^2-z^2-6xy+2yz-6zx​

Answer 1

Correct Equation ↓

9x² + y² - z² + 6xy - 2yz - 6zx

We know the algebraic identity,

( x + y + z )² = x² + y² + z² + 2xy + 2yz + 2zx

9x² + y² - z² + 6xy - 2yz - 6zx

(3x)² + (y)² + (-z)² + 2*3x*y + 2*y*(-z) + 2*(-z)*3x

[3x + y + (-z)]²

[3x + y - z]²

Answer 2

Step-by-step explanation:

Correct Equation → 9x^2 + y^2-z^2+6xy-2yz-6zx

We know the algebraic identity,

→ (x + y + Z)^2= x2 + y + z2+2xy +2yz +2zx

→ 9x^2 + y^2-z^2+6xy-2yz-6zx

→ (3x)^2+(y)^2+(-Z)^2+2*3x*y +2*y*(-Z) +2*(-z)*3x

→ [3x + y +(-Z)]

→ [3x + y-z] ⠀⠀⠀⠀⠀⠀←Answer