(4x*squared*+11x) - [(8x - x) - ( - 3x*squared* + x)] = ?

1 Answer
Mrs. R
Jan 19, 2018

x^2+5x

Explanation:

color(white)(aaaa)Following BEDMAS we simplify inside the [ ] brackets. The negative sign between the inside brackets can be considered as multiplying the second set of brackets by (-1).
color(white)(aaaa)Just looking at that part of the expression,
color(white)(aaaaaaaaaaaaaaaaaaa) -(-3x^2+x)=-1(-3x^2+x)
color(white)(aaaa)Expanding the brackets and adding like terms,
4x^2+11x-[(8x-x)-(-3x^2+x)]
=4x^2+11x-[7x-(-3x^2)-x]
=4x^2+11x-[7x+3x^2-x]
=4x^2+11x-7x-3x^2+x
=4x^2-3x^2+11x-7x+x
=x^2+5x

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