Factorize 7x^2 +2V14 x + 2
Note- V is root
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◆ METHOD 1 (By splitting mid term)
7x² + 2√14x + 2
=> 7x² + √14x + √14x + 2
=> √7x(√7x + √2) + √2(√7x + √2)
=> (√7x + √2)(√7x + √2)
=> (√7x+ √2)²
◆ METHOD 2 (By using identity)
Using identity : - (a + b)² = a² + 2ab + b²
7x² + 2√14x + 2
=> (√7x)² + 2 × (√7x) × (√2) + (√2)²
=> (√7x + √2)²
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