Ask Question
16 July, 12:23

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6

+2
Answers (1)
  1. 16 July, 15:14
    0
    Answer

    (4x-8) (3x-1)

    Explanation

    (4x²-32x+48) / (3x²-17x-6)

    First factorize the numerator the the denominator.

    4x²-32x+48 = 4 (x²-8x+12)

    Factorize x²-8x+12. product = 12 and sum = - 8.

    The factors are - 6 and - 2

    x²-8x+12 = x² - 2x - 6x + 12

    = x (x-2) - 6 (x-2)

    = (x-2) (x-6)

    4x²-32x+48 = 4 (x-2) (x-6)

    For the denominator;

    3x²-17x-6

    product = - 18 and sum = - 17. the factors are: - 18 and 1

    3x²-17x-6 = 3x² + 1x - 18x - 6

    = x (3x+1) - 6 (3x+1)

    = (3x+1) (x-6)

    (4x²-32x+48) / (3x²-17x-6) = 4 (x-2) (x-6) / (3x+1) (x-6)

    =4 (x-2) / (3x-1) or

    = (4x-8) (3x-1)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers