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In Problems 37 and 38 factor completely 37.X Sxy MOy? 38. 6 74w 5y2 In Problems 39,42, write in the form wxd bvd where a. b p and 4 are rational numbers 39. 3 4V 4...

Question

In Problems 37 and 38 factor completely 37.X Sxy MOy? 38. 6 74w 5y2 In Problems 39,42, write in the form wxd bvd where a. b p and 4 are rational numbers 39. 3 4V 401 8 37 41. 142 S4 6y275 Vx In Problems 43 and 44, write in the formia + bVc where 4 b, and € are rational numbers:V3 V4344

In Problems 37 and 38 factor completely 37.X Sxy MOy? 38. 6 74w 5y2 In Problems 39,42, write in the form wxd bvd where a. b p and 4 are rational numbers 39. 3 4V 401 8 3 7 41. 142 S4 6y275 Vx In Problems 43 and 44, write in the formia + bVc where 4 b, and € are rational numbers: V3 V 43 44



Answers

In Problems $37-42,$ factor the sum or difference of two cubes. $$ 8 x^{3}+27 $$

Lettuce factor. The given polynomial 27 minus h x cube that is right in the form off difference off two cubes. 27 is nothing much. Three cubed and eight X cube is two x whole cube. Now it is in the form so we can apply the formula. Train minus two x three square plus three month applied with two x plus to X hold square. Now this becomes cream minus two X three Squire is nine plus six x plus full ex quick. So this is the factor for the given polynomial.

Here. The given polynomial is for X Square plus for X Plus one, and we can write this polynomial as a perfect square. Like this. Forex square can be written like two X Square plus to product two X product, one plus one square. Now this is in the form off a plus B hold square. We're a is two x and B iss one. So this can be written like this two x plus one we'll square.

The given polynomial is Exc Cube plus 27 which can be either from as some off two cubes Excuse plus 27 can. Britain has three que so we can use the form below. No X plus three multiplied with X square minus three X plus three square raise ninth.

Let us use difference off two cubes Formula for of finding the factor for the given polynomial given polynomial is X cubed minus 27 which can be Turton ass X cubed 27. He's three cube now It is in the form off difference off two cubes. So we conducted as X minus X minus three when deployed with X square plus three x plus three square is 90. So this is the factor for X cubed minus 20.


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