Exams › SSC CGL (Prelims) › General

Expand and simplify: (x - 5)^2 + (x + 3)^2 + 4x

1. 2(x^2 - 17)
2. 2(x^2 + 17)
3. (x^2 + 17)
4. 2(x^2 - 5x + 17)

Correct answer: 2(x^2 + 17)

Solution

(x-5)^2 = x^2-10x+25. (x+3)^2 = x^2+6x+9. Adding both plus 4x: 2x^2+(-10x+6x+4x)+(25+9) = 2x^2+0x+34 = 2(x^2+17).

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