Question

Simplify (2x +5) (3x -2) + (x -2) (2x -3)
explain in detail

Answer 1

Answer:

$(2x + 5)(3x - 2) + (x - 2)(2x - 3) \\ \\ = {6x}^{2} - 4x + 15x - 10 + ( {2x}^{2} - 3x - 4x + 6) \\ \\ = {6x}^{2} + 11x - 10 + {2x}^{2} - 3x - 4x + 6 \\ \\ = {6x}^{2} + 11x - 10 + {2x}^{2} - 7x + 6 \\ \\ = {8x}^{2} + 4x - 4 \\ \\ = 2( {x}^{2} + 2x - 2) \\ \\ = {x}^{2} + 2x - 2$

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