4/35a^2b-12/5ab8/15a^2b^3-16/25a^3 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −3 -2.5 −2 -1.5 −1 -0.5 0 0.5 1 1.5 2 2.5 3 x y
Exercise4 35 a 2 b − 12 5 a b + 8 15 a 2 b 3 − 16 25 a 3 \frac{4}{35}a^2b-\frac{12}{5}ab+\frac{8}{15}a^2b^3-\frac{16}{25}a^3 35 4 a 2 b − 5 12 ab + 15 8 a 2 b 3 − 25 16 a 3
Step-by-step Solution
1
Factor the polynomial 4 35 a 2 b − 12 5 a b + 8 15 a 2 b 3 − 16 25 a 3 \frac{4}{35}a^2b-\frac{12}{5}ab+\frac{8}{15}a^2b^3-\frac{16}{25}a^3 35 4 a 2 b − 5 12 ab + 15 8 a 2 b 3 − 25 16 a 3 a a a
a ( 4 35 a b − 12 5 b + 8 15 a b 3 − 16 25 a 2 ) a\left(\frac{4}{35}ab-\frac{12}{5}b+\frac{8}{15}ab^{3}-\frac{16}{25}a^2\right) a ( 35 4 ab − 5 12 b + 15 8 a b 3 − 25 16 a 2 )
Final answer to the exercise a ( 4 35 a b − 12 5 b + 8 15 a b 3 − 16 25 a 2 ) a\left(\frac{4}{35}ab-\frac{12}{5}b+\frac{8}{15}ab^{3}-\frac{16}{25}a^2\right) a ( 35 4 ab − 5 12 b + 15 8 a b 3 − 25 16 a 2 )