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Factorise: x2+ 8x + 16

  • a)
    (x+ 3)2

  • b)
    (x+ 2)2

  • c)
    (x+ 4)2

  • d)
    (x+ 5)2

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Factorise: x2+ 8x + 16a)(x+3)2b)(x+2)2c)(x+4)2d)(x+5)2Correct answer i...
C ) (x2 +8x +16)

= (x2 + 4x + 4x + 16)

= ( x2 + 4x ) + (4x + 16 )

= x(x + 4 ) +4(x + 4 )

=(x + 4)(x + 4)

=(x + 4)2 
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Community Answer
Factorise: x2+ 8x + 16a)(x+3)2b)(x+2)2c)(x+4)2d)(x+5)2Correct answer i...
C ) (x^2 +8x +16) = (x^2 + 4x ×4x + 16) = ( x^2 + 4x )(4x + 16 ) = x(x + 4 ) 4(x + 4 ) =(x + 4)(x + 4) =(x + 4)^2 OR(x^2 +8x + 16)(x^2 +2 × x × 4x + 4^2)(x + 4)^2
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