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Gelneren [198K]
3 years ago
14

Please help to solve this problemfactorize:(1 - a^2) (1 - b^2) + 4ab​

Mathematics
1 answer:
Temka [501]3 years ago
4 0

Answer:

(ab+a-b+1)(ab-a+b+1)

Step-by-step explanation:

  • (1 - a²) (1 - b²) + 4ab​=
  • 1 -a²-b² +a²b² +4ab =
  • (a²b² +2ab +1 )- (a²-2ab+b²)=
  • (ab+1)² - (a-b)²=
  • (ab+1 +a-b)(ab+1 -a+b)=
  • (ab+a-b+1)(ab-a+b+1)

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Answer:

15x = y

Step-by-step explanation:


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3 years ago
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 :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
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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Step-by-step explanation:

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