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hodyreva [135]
11 months ago
15

Need HELP PLS PIC ATTACHED

Mathematics
1 answer:
Vera_Pavlovna [14]11 months ago
4 0

Answer:

4x^{2}-13x+10

Step-by-step explanation:

(4x+5)(x-2)

Multiply each term in the first parenthesis by each term in the second (foil)

Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)

When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2

Step 2: Calculate product

4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like 4x^{2})

   4x^{2}+4x⋅-2-5x-5⋅-2

4x^{2}+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)

4x^{2}-8x-5x-5⋅-2

4x^{2}-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)

4x^{2}-8x-5x+10

Step 3: collect like terms

4x^{2}-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)

4x^{2}-13x+10 is the most simplified so it should be your final answer

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