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Dmitry [639]
2 years ago
10

Expand the polynomial and simplify: (4xy− 1 8 y^2)^2

Mathematics
1 answer:
Vinvika [58]2 years ago
3 0

Answer: 4y^{2}(2x-9y)^{2}

Step-by-step explanation:

We have the following polynomial:

(4xy-18y^{2})^{2}

This is a polynomial of the form (a-b)^{2}=a^{2}-2ab+b^{2}. Following this rule to expand it, we have:

(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}

16x^{2}y^{2}-144xy^{3}+324y^{4}

Applying common factor 4y^{2}:

4y^{2}(4x^{2}-36xy+81y^{2})

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to(2x-9y)^{2}. Hence, the final simplification is:

4y^{2}(2x-9y)^{2}

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Can somebody help me out please !
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Answer:

Part A

5yr old boy.

Y=-(1/8)x+113/8 x=5

Y=-5/8+113/8=(113-5)/8=108/8

Y=13.5 hrs

Yes the estimated value of sleep by this function is reasonable as it is close to childhood more sleep is likely.

Part B

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Y=-(1/8)x+113/8 x=20

Y=-20/8+113/8=(113-20)/8=93/8

Y=11.63 hrs

No the estimated value of sleep by this function is not reasonable as the normal sleep of 7-8 hrs is enough for adults.

Step-by-step explanation:

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Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to
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<u>Part A</u>

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The x coordinate of the vertex is -\frac{60}{2(-16)}=\frac{15}{8}.

When x=15/8, f\left(\frac{15}{8} \right)=\frac{289}{4}.

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The graph is in the attached image.

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