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Add v(x)=5x+2v(x)=5x+2v(x)=5x+2 and w(x)=3x−2w(x)=3x-2w(x)=3x−2.
x2+2x+3x^2+2x+3x2+2x+3
8x−18x-18x−1
8x8x8x
Add f(x)=2x+3f(x)=2x+3f(x)=2x+3 and g(x)=−x2g(x)=-x^2g(x)=−x2.
−x2+2x+3-x2+2x+3−x2+2x+3
2x3+3x22x^3+3x^22x3+3x2
Add v(x)=ax2+bxv(x)=ax^2+bxv(x)=ax2+bx and w(x)=bx−2w(x)=bx-2w(x)=bx−2.
ax2+4bx−2ax^2+4bx-2ax2+4bx−2
ax2+bx−1ax^2+bx-1ax2+bx−1
ax2+2bx−2ax^2+2bx-2ax2+2bx−2
Add v(x)=5x+2v(x)=5x+2v(x)=5x+2 and w(x)=3x2−2w(x)=3x^2-2w(x)=3x2−2.
3x2+5x3x^2+5x3x2+5x
3x2+13x^2+13x2+1
Add f(x)=5xf(x)=5xf(x)=5x and g(x)=−x2+1g(x)=-x^2+1g(x)=−x2+1.
−x2+5x+1-x^2+5x+1−x2+5x+1
Add f(x)=2x3f(x)=2x^3f(x)=2x3 and g(x)=3x2g(x)=3x^2g(x)=3x2.
−x2+2x+3-x^2+2x+3−x2+2x+3
Add v(x)=5x+1v(x)=5x+1v(x)=5x+1 and w(x)=3x−2w(x)=3x-2w(x)=3x−2.
8x+18x+18x+1
Add v(x)=5x2+xv(x)=5x^2+xv(x)=5x2+x and w(x)=3x−2w(x)=3x-2w(x)=3x−2.
5x2+4x−25x^2+4x-25x2+4x−2
5x2+8x−15x^2+8x-15x2+8x−1
5x2+8x+15x^2+8x+15x2+8x+1
Add v(x)=5x+av(x)=5x+av(x)=5x+a and w(x)=3x−bw(x)=3x-bw(x)=3x−b.
8x−ab8x-ab8x−ab
8x+a−b8x+a-b8x+a−b
Add f(x)=sinsinxf(x)=\sin\sin xf(x)=sinsinx and g(x)=3x2g(x)=3x^2g(x)=3x2.
sinsinx+2x+3\sin\sin x+2x+3sinsinx+2x+3
sinsinx+3x2\sin\sin x+3x^2sinsinx+3x2
It is done.