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Factorize: (i)x^2+8x+16 (ii) 4a^2-4a...

Factorize:
(i)`x^2+8x+16`
(ii) `4a^2-4a+1`

Text Solution

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(i)`x^2+8x+16`
`=x^2−2(4)(x)+4^2`
`=(x−4)^2`
`=(x−4)(x−4)`

(ii) `4a^2-4a+1`
`= ( 4a^2 - 4a + 1 )`
`= [ ( 2a )^2 - 2 xx 2a xx 1+ 1^2]`
`= ( 2a - 1)^2`
`= ( 2a - 1)( 2a - 1)`
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RD SHARMA-FACTORISATION-All Questions
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  3. Factorize: (i)x^2+8x+16 (ii) 4a^2-4a+1

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  10. Factorize each of the following expressions: x^2+2x y+y^2-a^2+2a b-...

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  11. Factorize: (i))x^2+8x+15 (ii) x^4+x^2+1

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  13. Factorize each of the following algebraic expressions: (1)4x^2+12 ...

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  20. Factorize each of the following expressions: x^2-7x+12

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