2 answers:
Answer:
x²+23x+49
Step-by-step explanation:
The area of the large rectangle can be found by multiplying the dimensions, x+10 and 2x+5:
(x+10)(2x+5)
x(2x)+5(x)+10(2x)+10(5)
2x²+5x+20x+50
2x²+25x+50
Next find the area of the smaller rectangle. Do this by multiplying x+1 by x+1:
(x+1)(x+1)
x(x)+1(x)+1(x)+1(1)
x²+1x+1x+1
x²+2x+1
Now subtract the larger area and the smaller area:
(2x²+25x+50)-(x²+2x+1)
To do this, combine like terms:
2x²-x²+25x-2x+50-1
x²+23x+49
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