Question

factorise
9x^2+6xy+y^2

please help​​

Answer 1

Answer:

${x}^{2} + 6xy + {y}^{2} \\ {x}^{2} + 3xy + 3xy + {y}^{2} \\ x(x + 3y) + y(3x + y) \\ (x + y)(3x + y)$

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Answer 2

Answer :

• 9x² + 6xy + y² = (3x + y) (3x + y)

Given :

• 9x² + 6xy + y²

To find :

• Factorise

Solution :

》9x² + 6xy + y²

》(3x)² + 2 × 3 + y²

》(3x + y)²

As we know that,

• (a + b)² = a² + b² + 2ab then,

where , a = 3x and b = y

》9x² + 6xy + y² = (3x + y) (3x + y)

More Explanation :

• Quadratic Equation is an equation that can be written in standard form
• ax² + bx + c = 0
• where, a , b and c is real number then a is not equal to zero