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satela [25.4K]
3 years ago
15

Simplify with steps.

Mathematics
1 answer:
gogolik [260]3 years ago
4 0

1. (x−1)(5x+8)−2x+5

=(x)(5x)+(x)(8)+(−1)(5x)+(−1)(8)+−2x+5

=5x2+8x+−5x+−8+−2x+5

Combine Like Terms:

=5x2+8x+−5x+−8+−2x+5

=(5x2)+(8x+−5x+−2x)+(−8+5)

=5x2 + x + −3

2. (−2+5)(3x+9)

=9x+27

3. 2x+5−8x+12

=2x+5+−8x+12

Combine Like Terms:

=2x+5+−8x+12

=(2x+−8x)+(5+12)

=−6x+17

4. (−x+3)(−5x−2)

=(−x+3)(−5x+−2)

=(−x)(−5x)+(−x)(−2)+(3)(−5x)+(3)(−2)

=5x2+2x−15x−6

=5x2 − 13x − 6

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Step-by-step explanation:

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The formula for surface area of a rectangular prism is:

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The dimensions for the box are written l X w X h (length times width times height).

We know:

l = 4

w = 3

h = 2

The units for surface area is the unit squared. Feet squared is ft². Be sure the include the units.

Substitute these numbers into the formula. When solving, solve in the BEDMAS order (brackets, exponents, division and multiplication, addition and subtraction).

SA = 2(lw + hl + wh) u²

SA = 2((4*3) + (2*4) + (3*2)) ft²      Multiply within each smaller bracket

SA = 2(12 + 8 + 6) ft²          Add inside the brackets

SA = 2(26) ft²        Multiply

SA = 52 ft²         Final answer

Therefore 52 square feet of cardboard will be needed to make the box.

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