Decimals and Fractions Practice Test 4

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Question : 34 of 40

Marks: +1, -0

Evaluate:

{ ( 4.056)^3+ (6.089)^3}/{ (4.056)^2+ 4.056× 6.089+( 6.089)^2}

11.145
10.145
12.145
1,044.133
9.145

Solution:

By using

a^3+b^3=(a+b)(a^2+ab+b^2)

{ ( 4.056)^3+ (6.089)^3}/{ (4.056)^2+ 4.056× 6.089+( 6.089)^2}

={ (4.056+6.089) [{ (4.056)^2+ 4.056× 6.089+( 6.089)^2}]}/{ (4.056)^2+ 4.056× 6.089+( 6.089)^2}

= 4.056 +6.089 =10.145

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