Does the sum of the areas of the smaller Squares equal the area of the large squares

Mathematics

1 answer:

Keith_Richards [23]3 years ago

4 0

Not always. The side length matters. Bigger side lengths is bigger squares and smaller side length is smaller squares. So therefore the answer is no.

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Which of the following is equivalent to the polynomial given below?

Marizza181 [45]

Answer:

$(x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))$

Step-by-step explanation:

The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.

Notice that it is just $+6x$ . This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:

$(x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))$

$x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)$ $x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})$ $x^{2}+6x+9-(11)(-1)$