Mathematics

Question

simplify (x+4)^2 how is this simplified

2 Answer

  • Is known that

    (a + b)² = a² + 2.a.b + b²

    So:

    (x + 4)² = x² + 2.x.4 + 4² = x² + 8x + 16

  • Answer: x^2 +8x +16
    Explanation:
    each term in the second bracket must be multiplied by each term in the first bracket
    ⇒(x +4)^2=(x+4)(x+4)⇒(x+4(x+4)
    =x(x+4)+4(x+4)
    =(x×x)+(x×4)+ (4×x)+(4×4)
    =x2+4x+4x+16
    =x^2+8x+16


    That's all
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