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02-06-2019
Mathematics

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

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a5904640 a5904640

02-06-2019

Is known that

(a + b)² = a² + 2.a.b + b²

So:

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

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02-06-2019

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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