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aleksandrvk [35]
3 years ago
11

Determine which polynomial is a perfect square trinomial.

Mathematics
2 answers:
max2010maxim [7]3 years ago
4 0

Answer:

D) 16x^2 − 56x + 49

Step-by-step explanation:

It is 16x^2 - 56x + 49

(4x)^2 - 2*4x*7 + 7^2

This is in the form of (a - b)^2 = a^2 - 2ab + b^2

Here a = 4x and b = 7

(4x)^2 - 2*4x*7 + 7^2 = (4x - 7)^2

Therefore, answer is D) 16x^2 − 56x + 49

Hope this will helpful.

Thank you.

Sholpan [36]3 years ago
3 0

\it 16x^2-56x+49 = 4^2x^2-56x+7^2=(4x-7)^2


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Step-by-step explanation:

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Required

The explicit formula

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a_2 = a_{2-1}-14

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Open bracket

a_n = -25-14n + 14

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\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}

Step-by-step explanation:

7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1

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11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3

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