Question

Simplify the expression
i(x+(-x)+2x+x)
ii(-10²+2b+3+b²-6)
iii(7s-1-(-4)s
iv(-5a²-a+9-6a²+8)

Answer 1

Step-by-step explanation:

i(x−x+2x+x)

=(i)(x+−x+2x+x)

=(i)(x)+(i)(−x)+(i)(2x)+(i)(x)

=ix−ix+2ix+ix

=3ix

ii(−102+2b+3+b2−6)

=(ii)(−102+2b+3+b2+−6)

=(ii)(−102)+(ii)(2b)+(ii)(3)+(ii)(b2)+(ii)(−6)

=−100i2+2bi2+3i2+b2i2−6i2

=b2i2+2bi2−103i2

iii(7s−1−−4s)

=(iii)(7s+−1+4s)

=(iii)(7s)+(iii)(−1)+(iii)(4s)

=7i3s−i3+4i3s

=11i3s−i3

iv(−5a2−a+9−6a2+8)

=(iv)(−5a2+−a+9+−6a2+8)

=(iv)(−5a2)+(iv)(−a)+(iv)(9)+(iv)(−6a2)+(iv)(8)

=−5a2iv−aiv+9iv−6a2iv+8iv

=−11a2iv−aiv+17iv