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2 years ago

PL HELP ASAP

Mathematics

2 answers:

kotykmax [81]2 years ago

6 0

(x+10)2
+
(2x-5)2
-
(x+1)4

klasskru [66]2 years ago

4 0

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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