Question

Factorise : x + 2 v3x + 3​

Answer 1

Required Answer:-

Correct Question:

• Factorise x² + 2√3x + 3

Solution:

Given,

= x² + 2√3x + 3

= x² + √3x + √3x + 3

= x(x + √3) + √3(x + √3)

= (x + √3)(x + √3)

= (x + √3)²

Another approach:

x² + 2√3x + 3

= (x)² + 2 × x × √3 + (√3)²

= (x + √3)² [(a + b)² = a² + 2ab + b²]

★ So, the factorised form is - (x + √3)²

Answer:

• (x + √3)²

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