Question

If (a - b)² = 4 and (a + b)² = 64, Find the value of a² + b².

Answer 1

$(a-b)^2=a^2-2ab+b^2\\\underline{(a+b)^2=a^2+2ab+b^2}\\(a-b)^2+(a+b)^2=2a^2+2b^2\\\\2a^2+2b^2=4+64\\2a^2+2b^2=68\\a^2+b^2=34$

Answer 2

Step-by-step explanation:

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