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alisha [4.7K]
3 years ago
14

Subtract: x^2+4xy −3y^2 from 2x^2−5xy+y^2

Mathematics
2 answers:
slavikrds [6]3 years ago
8 0

2x^2−5xy+y^2 - (x^2+4xy −3y^2)

= 2x^2−5xy + y^2 - x^2 - 4xy + 3y^2

= x^2 - 9xy + 4y^2


answer

x^2 - 9xy + 4y^2

Zina [86]3 years ago
8 0

if you combine your like terms you would get -xy-x^2-2y^2. hope that helps!

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Step-by-step explanation:

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4x + 5y = 12

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The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
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Step-4 : Add up the first 2 terms, pulling out like factors :
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              Add up the last 2 terms, pulling out common factors :
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Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
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