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Factorising, we obtain, x2 + 10x + 21 = (x + 7)(x + 3). Thus, x2 + 10x + 21 / (x + 3) = x + 7. That's usually easier than dividing it out!
That depends what the value of x is.
x^2 + 10x + 16 = (x + 8)(x + 2)
8 = 10x/(10 + x) Multiply both sides by (10 + x) to give: 8*(10+x) = 10x Simplify: 80 + 8x = 10x Subtract 8x from both sides: 80 = 2x Divide both sides by 2: 40 = x
x = 6 Why? 10x + 8 = 68 Subtract 8 from both sides: 10x = 60 Divide both sides by 10: x = 6