Answer:
can be factored out as: ![(\frac{x}{4} +2\,y)^2](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx%7D%7B4%7D%20%2B2%5C%2Cy%29%5E2)
Step-by-step explanation:
Recall the formula for the perfect square of a binomial :
![(a+b)^2=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2)
Now, let's try to identify the values of
and
in the given trinomial.
Notice that the first term and the last term are perfect squares:
![\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B16%7D%20%3D%20%28%5Cfrac%7Bx%7D%7B4%7D%20%29%5E2%5C%5C4y%5E2%3D%282y%29%5E2)
so, we can investigate what the middle term would be considering our
, and
:
![2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y](https://tex.z-dn.net/?f=2%5C%2Ca%5C%2Cb%3D2%5C%2C%28%5Cfrac%7Bx%7D%7B4%7D%29%20%5C%2C%282%5C%2Cy%29%3Dx%5C%2Cy)
Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:
![(\frac{x}{4} +2\,y)^2](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx%7D%7B4%7D%20%2B2%5C%2Cy%29%5E2)
Answer:
98
Step-by-step explanation:
f(x) = 10x² + 8
= 10(-3)² + 8
= 10 (9) + 8
= 90 + 8
= 98
No it will not bc the area of the door is 1,800 inches and the dog beds area is 4,225 inches and also the dog bed too tall
Answer:
1 and 10
Step-by-step explanation:
Answer:
5,5sqrt2
Step-by-step explanation:
easy