Answer:
\frac{276}{5}-8x)
Step-by-step explanation:
We are given with
H(x)=1/3x3/3 3x2+9x-2
And
M(x)=13 3/5x+6x3-2x2-4x
And asked to determine
[h(x) +m(x)]-[h(x)-m(x)]
Opening the second parenthesis
h(x) +m(x)-h(x)+m(x)
As we subtracted the second bracket, the sign get reversed.
As h(x) has opposite signs , they get cancelled
h(x) +m(x)-h(x)+m(x)
=2m(x)
=2(13\tfrac{3}/{5}x+6x3-2x2-4x)
=2(\frac{13 \times 5 + 3}{5}+18-4-4x)
=2(\frac{68}{5}+14-4x)
=2(\frac{68+70}{5}-4x)
=2(\frac{138}{5}-4x)
=\frac{276}{5}-8x)
