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Need HELP PLS PIC ATTACHED

Need HELP PLS PIC ATTACHED-example-1
User Martin Janiczek
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1 Answer

25 votes
25 votes

Answer:


4x^(2)-13x+10

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

Need HELP PLS PIC ATTACHED-example-1
User Vikram Singh
by
2.5k points