Mathematics, 24.08.2019 09:30 raweber

Expand and simplify
a. 5(3p+2)-2(4p-3)
b.4(2x+-2)
c.(x+3) (x-2)
d.(x-1) (x-2)
e. (x-3) (x-2)
f.(2p+3) (p-2)
g.(3t-2) (2t+3)
h. (2x-5) (3x-2)

Answers: 1

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Answers

A. 5(3p + 2) - 2(4p - 3)
    5(3p) + 5(2) - 2(4p) + 2(3)
    15p + 10 - 8p + 6
   15p - 8p + 10 + 6
      7p + 16

b. 4(2x + 3) - (x - 2)
    4(2x + 3) - 1(x - 2)
    4(2x) + 4(3) - 1(x) + 1(2)
    8x + 12 - x + 2
    8x - x + 12 + 2
    7x + 14

c. (x + 3)(x - 2)
    x(x - 2) + 3(x - 2)
    x(x) - x(2) + 3(x) - 3(2)
    x² - 2x + 3x - 6
    x² + x - 6

d. (x - 1)(x - 2)
    x(x - 2) - 1(x - 2)
    x(x) - x(2) - 1(x) + 1(2)
    x² - 2x - x + 2
    x² - 3x + 2

e. (x - 3)(x - 2)
    x(x - 2) - 3(x - 2)
    x(x) - x(2) - 3(x) + 3(2)
    x² - 2x - 3x + 6
    x² - 5x + 6

f. (2p + 3)(p - 2)
   2p(p - 2) + 3(p - 2)
   2p(p) - 2p(2) + 3(p) - 3(2)
   2p² - 4p + 3p - 6
   2p² - p - 6

g. (3t - 2)(2t + 3)
    3t(2t + 3) - 2(2t + 3)
    3t(2t) + 3t(3) - 2(2t) - 2(3)
    6t² + 9t - 4t - 6
    6t² + 5t - 6

h. (2x - 5)(3x - 2)
    2x(3x - 2) - 5(3x - 2)
    2x(3x) - 2x(2) - 5(3x) + 5(2)
    6x² - 4x - 15x + 10
    6x² - 19x + 10

Answer from: Quest

Ugh h h t t u i i vick u

Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

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Expand and simplify
a. 5(3p+2)-2(4p-3)
b.4(2x+-2)
c.(x+3) (x-2)
d.(x-1) (x-...