Question

16a²+———+1=(4a+1)², Fill in the blanks to correct the given statement.

Answer 1

here is your answer 16a^2+8a+1=(4a+1)^2

Answer 2

Solution :

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We know the algebraic identity :

( x + y )² = x² + 2xy + y²

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Here ,

( 4a + 1 )²

= ( 4a )² + 2 × 4a × 1 + 1²

= 16a² + 8a + 1

Therefore ,

16a² + 8a + 1 = ( 4a + 1 )²

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