Question

if a+b =5 acube+bcube=35 find asquare + bsquare

Answer 1

Answer:

13

Step-by-step explanation:

( a+ b )^3 =5^3

a ^ 3 + b ^3 + 3 ab ( a + b ) = 125

35 + 3ab (5) = 125

15 ab = 125 -35

15 ab = 90

ab = 6

Now use ab in ( a+ b) ^ 2

( a+ b ) ^2 = 5 ^ 2

a ^ 2+ b ^ 2+2 ab = 25

a ^ 2 + b ^ 2+ 12 = 25

THEREFORE , a ^ 2 + b ^ 2 = 25 - 12 = 13

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