Write the following cubes in expanded form: from Mathematics Po

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 Multiple Choice QuestionsShort Answer Type

191. Factorise

4x2 + 9y2 + 16z2 + 12xy - 24yz - 16xz
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192. Factorise

2 straight x squared plus straight y squared plus 8 straight z squared minus 2 square root of 2 xy plus 4 square root of 2 yz minus 8 zx
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193. Write the following cubes in expanded form:
(2x + 1)3
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194. Write the following cubes in expanded form:
(2a - 3b)3
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195. Write the following cubes in expanded form:

open square brackets 3 over 2 straight x plus 1 close square brackets cubed


open square brackets 3 over 2 straight x plus 1 close square brackets cubed
open square brackets 3 over 2 straight x plus 1 close square brackets cubed space equals space open parentheses 3 over 2 x close parentheses cubed plus left parenthesis 1 right parenthesis cubed space plus space 3 open parentheses 3 over 2 x close parentheses left parenthesis 1 right parenthesis open parentheses 3 over 2 x plus 1 close parentheses
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                                               | Using Identity VI 

equals space 27 over 8 x cubed plus 1 plus 9 over 2 x open parentheses 3 over 2 x plus 1 close parentheses
equals space 27 over 8 x cubed plus 1 plus 27 over 4 x squared plus 9 over 2 x
equals space 27 over 8 x cubed plus 27 over 4 x squared plus 9 over 2 x plus 1

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196. Write the following cubes in expanded form:

open parentheses straight x minus 2 over 3 straight y close parentheses cubed

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197. Evaluate the following using suitable identities:
(99)3 
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198. Evaluate the following using suitable identities:
(102)3
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199. Evaluate the following using suitable identities:
(998)3
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200. Factorise each of the following:
 8a3 + b3 + 12a2b + 6ab2
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