If ( (a+b)^{2}=25, a b=6 ) then ( a^{2}+b^{2}=cdots )

Question

Accepted Answer

Step:1 ：Step 1: Expand ((a+b)^{2}) using the formula ((a+b)^{2}=a^{2}+2ab+b^{2})Step:2 ：Step 2: Substitute given values: (25=a^{2}+2(6)+b^{2})Step:3 ：Step 3: Solve for (a^{2}+b^{2}): (a^{2}+b^{2}=25-12=13)

Answer

Step: 1 ：Step 1: Expand ((a+b)^{2}) using the formula ((a+b)^{2}=a^{2}+2ab+b^{2})Step: 2 ：Step 2: Substitute given values: (25=a^{2}+2(6)+b^{2})Step: 3 ：Step 3: Solve for (a^{2}+b^{2}): (a^{2}+b^{2}=25-12=13)

If \( (a+b)^{2}=25, a b=6 \) then \( a^{2}+b^{2}=\cdots \)

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