Please Find the area of the shaded region
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Step-by-step explanation:
Area of shaded region = Area of bigger rectangle - Area of Smaller rectangle
Area of bigger rectangle= l × b
= (4x+3) (4x-3) = (4x)²-(3)²= (16x²-9) sq. units
Area of smaller rectangle= l × b
= (8x+9)(2x-1) = 8x(2x-1) +9(2x-1)
= 16x² -8x +18x - 9 = (16x²+10x-9)sq. units
Area of shaded region= (16x²-9) - (16x²+10x-9)= 16x²-9-16x²-10x +9
= -10x sq. units
= 10x sq. units
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