CPM Homework Help : CCA Problem 3-103

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3-103.

Multiply each of the following expressions. Show all of your work.

$(x+3)(4x+5)$
Hint (a):
Use a generic rectangle to multiply. A 2 by 2 rectangle.
Hint 2(a):
Put the products on the outside of the rectangle. Added to the rectangle, the following labels: left side, top, + 3, left side, bottom, x, bottom side, left, 4, x, bottom side, right, +, 5.
Hint 3(a):
Use length times width to find the areas of the small rectangles. Labels added to the interior of the rectangle as follows: top left, 12 x, top right, 15, bottom left, 4 x squared, bottom right, 5 x.
Hint 4(a):
Write the total area as a sum.
$4x^2+12x+5x+15$
Answer (a):
$4x^2+17x+15$

$(−2x^2−4x)(3x+4)$
Hint (b):
Follow the steps in part (a).
Answer (b):
$−6x^3−20x^2−16x$
$(3y−8)(−x+y)$
Hint (c):
Follow the steps in part (a).
$(y−4)(3x+5y−2)$
Hint (d):
Follow the steps in part (a).

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