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Multiply:
t(a)=6a−4;s(a)=3a+6t(a)=6a-4;s(a)=3a+6t(a)=6a−4;s(a)=3a+6
(t⋅s)(a)=18a2+24a−24(t⋅s)(a)=18a^2+24a-24(t⋅s)(a)=18a2+24a−24
(t⋅s)(a)=18a2+36a−20(t⋅s)(a)=18a^2+36a-20(t⋅s)(a)=18a2+36a−20
a(m)=5m+4;b(m)=2m+4a(m)=5m+4;b(m)=2m+4a(m)=5m+4;b(m)=2m+4
(a⋅b)(m)=10m2+28m+16(a⋅b)(m)=10m^2+28m+16(a⋅b)(m)=10m2+28m+16
(a⋅b)(m)=10m2+30m+20(a⋅b)(m)=10m^2+30m+20(a⋅b)(m)=10m2+30m+20
Multiple:
f(r)=8r+4;g(r)=r+7f(r)=8r+4;g(r)=r+7f(r)=8r+4;g(r)=r+7
(f⋅g)(r)=8r2+56r+28(f⋅g)(r)=8r^2+56r+28(f⋅g)(r)=8r2+56r+28
(f⋅g)(r)=8r2+60r+28(f⋅g)(r)=8r^2+60r+28(f⋅g)(r)=8r2+60r+28
f(b)=2b−3f(b)=2b-3f(b)=2b−3
(f⋅f)(b)=4b2−12b+9(f⋅f)(b)=4b^2-12b+9(f⋅f)(b)=4b2−12b+9
(f⋅f)(b)=4b2−6b+6(f⋅f)(b)=4b^2-6b+6(f⋅f)(b)=4b2−6b+6
t(v)=4v−3;u(v)=2v−1t(v)=4v-3;u(v)=2v-1t(v)=4v−3;u(v)=2v−1
(t⋅v)(u)=8v2−12v+4(t⋅v)(u)=8v^2-12v+4(t⋅v)(u)=8v2−12v+4
(t⋅v)(u)=8v2−10v+3(t⋅v)(u)=8v^2-10v+3(t⋅v)(u)=8v2−10v+3
f(s)=4s−2;g(s)=2s−4f(s)=4s-2;g(s)=2s-4f(s)=4s−2;g(s)=2s−4
(f⋅g)(s)=8s2−20s+8(f⋅g)(s)=8s^2-20s+8(f⋅g)(s)=8s2−20s+8
(f⋅g)(s)=6s2−12s+6(f⋅g)(s)=6s^2-12s+6(f⋅g)(s)=6s2−12s+6
c(s)=2s+3;d(s)=2s+2c(s)=2s+3;d(s)=2s+2c(s)=2s+3;d(s)=2s+2
(c⋅d)(s)=2s2+10s+6(c⋅d)(s)=2s^2+10s+6(c⋅d)(s)=2s2+10s+6
(c⋅d)(s)=4s2+12s+6(c⋅d)(s)=4s^2+12s+6(c⋅d)(s)=4s2+12s+6
f(p)=3p−2;g(p)=2p+7f(p)=3p-2;g(p)=2p+7f(p)=3p−2;g(p)=2p+7
(f⋅g)(p)=5p2+21p+14(f⋅g)(p)=5p^2+21p+14(f⋅g)(p)=5p2+21p+14
(f⋅g)(p)=6p2+17p−14(f⋅g)(p)=6p^2+17p-14(f⋅g)(p)=6p2+17p−14
f(x)=x+11;g(x)=x−11f(x)=x+11;g(x)=x-11f(x)=x+11;g(x)=x−11
(f⋅g)(x)=x2−121(f⋅g)(x)=x^2-121(f⋅g)(x)=x2−121
(f⋅g)(x)=x2+121(f⋅g)(x)=x^2+121(f⋅g)(x)=x2+121
a(l)=l+1;b(l)=l−1a(l)=l+1;b(l)=l-1a(l)=l+1;b(l)=l−1
(a⋅b)(l)=l2−1(a⋅b)(l)=l^2-1(a⋅b)(l)=l2−1
(a⋅b)(l)=l2+1(a⋅b)(l)=l^2+1(a⋅b)(l)=l2+1
It is done.