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Simplifying (a + b)(a + -1b) = 168 Multiply (a + b) * (a + -1b) (a(a + -1b) + b(a + -1b)) = 168 ((a * a + -1b * a) + b(a + -1b)) = 168 Reorder the terms: ((-1ab + a2) + b(a + -1b)) = 168 ((-1ab + a2) + b(a + -1b)) = 168 (-1ab + a2 + (a * b + -1b * b)) = 168 (-1ab + a2 + (ab + -1b2)) = 168 Reorder the terms: (-1ab + ab + a2 + -1b2) = 168 Combine like terms: -1ab + ab = 0 (0 + a2 + -1b2) = 168 (a2 + -1b2) = 168 Solving a2 + -1b2 = 168 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b2' to each side of the equation. a2 + -1b2 + b2 = 168 + b2 Combine like terms: -1b2 + b2 = 0 a2 + 0 = 168 + b2 a2 = 168 + b2 Simplifying a2 = 168 + b2 Reorder the terms: -168 + a2 + -1b2 = 168 + b2 + -168 + -1b2 Reorder the terms: -168 + a2 + -1b2 = 168 + -168 + b2 + -1b2 Combine like terms: 168 + -168 = 0 -168 + a2 + -1b2 = 0 + b2 + -1b2 -168 + a2 + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -168 + a2 + -1b2 = 0 The solution to this equation could not be determined.
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