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3 years ago

(8r2 -12r +4) - (3r2 + 5r -1)

Mathematics

1 answer:

Ivan3 years ago

7 0

Answer 5r^ 2 −17r+5

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "r2" was replaced by "r^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

(((8•(r2))-12r)+4)-((3r2+5r)-1)

STEP

Equation at the end of step

((23r2 - 12r) + 4) - (3r2 + 5r - 1)

STEP

Trying to factor by splitting the middle term

3.1 Factoring 5r2-17r+5

The first term is, 5r2 its coefficient is 5 .

The middle term is, -17r its coefficient is -17 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 5 • 5 = 25

Step-2 : Find two factors of 25 whose sum equals the coefficient of the middle term, which is -17 .

-25 + -1 = -26

-5 + -5 = -10

-1 + -25 = -26

1 + 25 = 26

5 + 5 = 10

25 + 1 = 26

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

5r^2 - 17r + 5

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