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8a 3 + b 3 + 12a 2 b + 6ab 2 8a 3 + b 3 + 12a 2 b + 6ab 2 = (2a) 3 + (b) 3 + 3(2a)(b) (2a + b) = (2a + b) 3 | Using Identity VI = (2a + b)(2a + b)(2a + b)

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Polynomials

Short 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

741 Views

195. Write the following cubes in expanded form:

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

190 Views

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

8a³ + b³+ 12a²b + 6ab²8a³ + b³+ 12a²b + 6ab²= (2a)³ + (b)³ + 3(2a)(b) (2a + b)
= (2a + b)³ | Using Identity VI
= (2a + b)(2a + b)(2a + b)