factorise 25x2+5x+1/4
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Q.25² + 5x + 1/4
⇒ using the identity ( a + b )² = a² + 2ab + b²
⇒ ²√25 x² + 5x + ²√1/4
⇒ ( 5x + 1/2 )²
Check
( 5x + 1/2 )²
⇒ using identity ( a + b )² = a² + 2ab + b²
⇒ ( 5x )² + 2( 5x × 1/2 ) + ( 1/2 )²
⇒ 25x² + 5x + 1/4
∴ Our answer is ( 5x + 1/2 )²
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