Question

Expand and simplify:(x + 1)(2x - 3)with the explaining the steps​

Answer 1

Answer:  2x^2 - x - 3

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Work Shown:

(x+1)(2x-3)

y(2x-3)

2xy - 3y

2x( y ) - 3( y )

2x( x+1 ) - 3( x+1 )

2x^2+2x - 3x-3

2x^2 - x - 3

Explanation:

In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.

Answer 2

= X(2X-3) + 1 ( 2X-3)
=(2X*2 -3X) + (2X-3)
=2x*2 - 3X + 2x-3
=2x*2-x-3