Question

4x²+4x+1 ,Determine whether the given trinomial are perfect square or not. please solve this question​

Answer 1

Solution:—

Let p(x) = 4x² + 4x + 1

= ( 2x )² + 2*2x*1 + 1²

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We know the algebraic identity:—

a² + 2ab + b² = ( a + b )²

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= ( 2x + 1 )²

( perfect square )

Therefore ,

p(x) is a perfect square .

Answer 2

Answer:

=Let p(x) = 4x² + 4x + 1

= ( 2x )² + 2*2x*1 + 1²

________________________

We know the algebraic identity:—

a² + 2ab + b² = ( a + b )²

________________________

= ( 2x + 1 )²

( perfect square )

Therefore ,

p(x) is a perfect square .