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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

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open parentheses straight x minus 2 over 3 straight y close parentheses cubed equals x cubed minus open parentheses 2 over 3 y close parentheses cubed minus 3 left parenthesis x right parenthesis open parentheses 2 over 3 y close parentheses open parentheses x minus 2 over 3 y close parentheses

| Using Identity VII

equals space straight x cubed minus 8 over 27 straight y cubed minus 2 xy open parentheses straight x minus 2 over 3 straight y close parentheses equals space straight x cubed minus 8 over 27 straight y cubed minus 2 straight x squared straight y plus 4 over 3 xy squared equals space straight x cubed minus 2 straight x squared straight y plus 4 over 3 xy squared minus 8 over 27 straight y 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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