Expand the following:(i) (x - 2y - 3z)2       (ii)    from

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 Multiple Choice QuestionsShort Answer Type

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181. Expand the following:

(i) (x - 2y - 3z)2       (ii)   open parentheses y minus square root of 3 close parentheses squared


(i) (x - 2y - 3z)2    

   = {(x) + (- 2y) + (- 3z)}
   

  = (x)2 + (- 2y)2 + (- 3z)2 +2(x) (- 2y) +2(-2y)(-3z)+2(-3z)(x)
    
   
= x2 + 4y+ 9z- 4xy + 12yz - 6zx

  left parenthesis ii right parenthesis space space space space left parenthesis straight y space minus space square root of 3 right parenthesis squared
space space space space space space space space space space space space space space space space equals space straight y squared minus 2 left parenthesis straight y right parenthesis space left parenthesis square root of 3 right parenthesis plus left parenthesis square root of 3 right parenthesis squared
space space space space space space space space space space space space space space space space space equals space straight y squared minus 2 square root of 3 straight y plus 3
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182. Factorise the following using appropriate identities:

9x2 + 6xy + y2
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183. Factorise the following using appropriate identities:

4y2 - 4y + 1
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184. Factorise the following using appropriate identities:

straight x squared minus straight y squared over 100
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185. Expand each of the following using suitable identities:
(x + 2y + 4z)2
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186. Expand each of the following using suitable identities:
(- 2x + 3y + 2z)2
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187. Expand each of the following using suitable identities:
(- 2x + 3y + 2z)2
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188. Expand each of the following using suitable identities:
(3a -7b - c)2
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189. Expand each of the following using suitable identities:
(- 2x + 5y - 3z)2 
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190. Expand each of the following using suitable identities:

open square brackets 1 fourth straight a minus 1 half straight b plus 1 close square brackets squared
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