(3y-4)(4y-6)?

Question

perform each of the following multiplications or divisions and simplify your answers. assume that no denominators equals zero.

Answer 1

12y² - 18y - 16y + 24
12y² - 34y + 24

Answer 2

Simplifying
(3y + -4)(4y + -6)

Reorder the terms:
(-4 + 3y)(4y + -6)

Reorder the terms:
(-4 + 3y)(-6 + 4y)

Multiply (-4 + 3y) * (-6 + 4y)
(-4(-6 + 4y) + 3y * (-6 + 4y))
((-6 * -4 + 4y * -4) + 3y * (-6 + 4y))
((24 + -16y) + 3y * (-6 + 4y))
(24 + -16y + (-6 * 3y + 4y * 3y))
(24 + -16y + (-18y + 12y^2))

Combine like terms: -16y + -18y = -34y
(24 + -34y + 12y^2)

Answer 3

(3y-4)(4y-6)

step one: get ride of the brackets
3y*4y = 12y^2
3y*(-6) = -18y
(-4)*(4y) = -16y
(-4)(-6) = 12

step two: put it together
12y^2-18y-16y+24

step three: group like terms
12y^2-34y+24

step four: simplify
they can all by divided by 2
12^2/2 = 6y^2
-34/2= -17y
24/2= 12


.: (3y-4)(4y-6) equals to 6y^2-17y+12

Answer 4

Use the foil method
Foil = first, outside, inside, last
first = 12y^2
Outside = -18y
Inside = -16y
Last = 24
Answer - 12y^2 - 34y + 24

Answer 5

12y^2-18y-16y+24
12y^2-34y+24

Answer 6

(3y-4)(4y-6)
12y^2-18y
-16y+24
_____________
12y^2-34y+24
(final answer)