Math, asked by bhaskarsunny06, 9 months ago

factorise (3x+4)^2-(2x-1)^2​

Answers

Answered by Anonymous
2

Step-by-step explanation:

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Answered by badrinathgpm123
0

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2x3-3x2-x=0  

Three solutions were found :

x =(3-√17)/4=-0.281

x =(3+√17)/4= 1.781

x = 0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((2 • (x3)) -  3x2) -  x  = 0  

Step  2  :

Equation at the end of step  2  :

 (2x3 -  3x2) -  x  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  2x3 - 3x2 - x  =   x • (2x2 - 3x - 1)  

Trying to factor by splitting the middle term

4.2     Factoring  2x2 - 3x - 1  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -1  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -1 = -2  

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -3 .

     -2    +    1    =    -1  

     -1    +    2    =    1  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  4  :

 x • (2x2 - 3x - 1)  = 0

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