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Write an expression for the area of the shaded region in its simplest form. Show all of your steps

Write an expression for the area of the shaded region in its simplest form Show all of your steps class=

Respuesta :

A = lw - s²
A = (x + 10)(2x + 5) - (x + 1)²
A = (x(2x + 5) + 10(2x + 5)) - (x + 1)(x + 1)
A = (x(2x) + x(5) + 10(2x) + 10(5)) - (x(x + 1) + 1(x + 1))
A = (2x² + 5x + 20x + 50) - (x(x) + x(1) + 1(x) + 1(1))
A = (2x² + 25x + 50) - (x² + x + x + 1)
A = (2x² + 25x + 50) - (x² + 2x + 1)
A = (2x² - x²) + (25x - 2x) + (50 - 1)
A = x² + 23x + 49