Solve Simplificationorothersimpleresults (3x-6)(2x^2-4x-5) Tiger ...

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results 3⋅(x−2)⋅(2x2−4x−5) 3*(x-2)*(2x^2-4x-5)

Other Ways to Solve

Simplification or other simple results

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

(3x - 6) • ((2x2 - 4x) - 5)

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors : 3x - 6 = 3 • (x - 2)

Trying to factor by splitting the middle term

3.2 Factoring 2x2 - 4x - 5 The first term is, 2x2 its coefficient is 2 .The middle term is, -4x its coefficient is -4 .The last term, "the constant", is -5 Step-1 : Multiply the coefficient of the first term by the constant 2 • -5 = -10 Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -4 .

-10 + 1 = -9
-5 + 2 = -3
-2 + 5 = 3
-1 + 10 = 9

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored

Final result :

3 • (x - 2) • (2x2 - 4x - 5)

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