Question

Factorise it
Don’t forgot to write step,I will mark as brainliest if your answer will be correct

3x^2+y^2+27z^2-2√3xy+6√3yz-18xz

Answer 1

Answer:

(-√3x + y + 3√3z)²  

Step-by-step explanation:

3x² + y² + 27z² - 2√3xy + 6√3yz - 18xz

{∵(a+b+c)²= a² + b ² + c² + 2ab + 2bc + 2ac}

⇒ (-√3x)² + (y)² + (3√3z)² + 2X(-√3x)(√y) + 2X(y)(3√3z) + 2(-√3x)(3√3z)

⇒ (-√3x + y + 3√3z)²  

Hope it helps!

Answer 2

Answer:

-3x²+27y²+z²-18xy+6√3yz-2√18zx

= (-√3x)²+(3√3y)²+z²+2*(-√3x)(3√3y)+2*(3√3y)z+2*z*(-√3x)

= (-√3x+3√3y+z)²

Therefore,

=3x²+27y²+z²-18xy+6√3yz-2√18zx

= (-√3x+3√3y+z)²

⇒ (-√3x + y + 3√3z)²  

Step-by-step explanation:

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