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Factor each binomial completely. If the binomial is prime, say so. Use your answers from Exercises 1 and 2 as necessary.$$x^{2}-400$$...

Question

Factor each binomial completely. If the binomial is prime, say so. Use your answers from Exercises 1 and 2 as necessary.$$x^{2}-400$$

Factor each binomial completely. If the binomial is prime, say so. Use your answers from Exercises 1 and 2 as necessary. $$ x^{2}-400 $$



Answers

Factor each binomial completely. If the binomial is prime, say so. Use your answers from Exercises 1 and 2 as necessary. $$ x^{2}-400 $$

We're being asked to factor the given by no meal. Well, both t squared and 16 are perfect squares, and they're going to subtract. So this is a difference of two squares problem so we can set apart to buy no meals. The first term in a binomial is the mono bill that one squared is T Square. Well, that would be t since tee times T is he squared, and the last term each binomial is the model meal. That one square there's 16 and that's going to be four since four times for 60 and in order get the minus sign one Sinus Plus and the Evers minus. So our final answer is T plus four times T minus for

We're being asked a factor. The given by no meal. Well, this is a difference of two squares problem since both X squared and 144 perfect squared and they're gonna subject. So when we factor, we're going to get a binomial times of I know meal now to get the first term in each final meal. It's the mono meal that one squared is X squared. Well, that will be X since X Times X is X squared, and the second term in each binomial is the mono meal. That one square gives us 144 and that will be 12 since 12 times 12 is under 44. And in order, get the minus. Sign one of the binomial zwei plus, and the ever will be minus. So our final answer is X plus 12 times X minus 12

We're being asked a factor. The given by no meal. Well, well four x squared and nine perfect squared, and they're getting subtracted. So this is a difference of squares problem. So let's start out bright to buy no meals. Now the first term in each binomial is the mono meal that one squared would give us for X squared. And that will be two x since two x Times two X is for X, where the second term in each binomial is the model meal that one square this nine and that would be three since three Times Streets Night and for the signs, remember ones plus and the others minus. So our final answer is two x plus three times two x minus three

We're being asked the fact of the given by no meal well, both 196 p squared and 225 pro perfects words, and they're getting subtracted. So this is a difference. It's you squares problem. So let's start up our to buy no meals. Well, the first term in each binomial is the model meal. That one square is 1 96 p squared and that would be 14 p since 14 p. Times. 14 p is 1 96 p square. The second term in each binomial is the number that one squared would give us 225. Well, that's gonna be 15 since 15 times 15 is 225. I remember for the signs once positive and the other is negative. So our final answer is 14 p plus 15 times 14 p minus 15


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