ok
What are you solving? \((x*y)(x*y)=x*x*y*=x^2y^2\)
polynomial identites and proofs
(x*y)(x*y) x^2 + xy + yx + y^2 Hmm... Simplify
Solve as in multiply? It's not an equation so you can't solve for anything
Not much to do, it's multiplication so you can multiply in any order. So you can group x's with x's and y's with y's What would x*x be?
$$\large\text{(x*y)(x*y)}$$$$\large\text{ = (y*x)(x*y) ___commutative prop. of mult}$$$$\large\text{=y*x(x*y) _____unnecessary ( ) }$$$$\large\text{=y*(xx)*y _____associative prop. of mult.}$$$$\large\text{=y*(x^2)*y ____definition of a power}$$$$\large\text{=y*y*(x^2) ____commutative prop. of mult}$$$$\large\text{ =y^2*x^2 ____definition of a power }$$
can you guys see if I'm solving this right?|dw:1418205531276:dw|
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