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a: \(=ab\cdot\dfrac{4}{3}a^2b^4\cdot7abc=\dfrac{28}{3}a^4b^6c\)
b: \(a^3b^3\cdot a^2b^2c=a^5b^5c\)
c: \(=\dfrac{2}{3}a^3b\cdot\dfrac{-1}{2}ab\cdot a^2b=\dfrac{-1}{3}a^6b^3\)
d: \(=-\dfrac{7}{3}a^3c^2\cdot\dfrac{1}{7}ac^2\cdot6abc=-2a^5bc^5\)
e: \(=\dfrac{-3}{2}\cdot\dfrac{1}{4}\cdot ab^2\cdot bca^2\cdot b=\dfrac{-3}{8}a^3b^4c\)
a. \(4ab.\frac{1}{3}ac-2aca-9a^2.\frac{1}{2}b+10a^2.\frac{1}{5}c+a^2b-a^2bc\)
\(=\left(4.\frac{1}{3}\right)\left(a.a\right).bc-2a^2c-\left(9.\frac{1}{2}\right)a^2b+\left(10.\frac{1}{5}\right)a^2c+a^2b-a^2bc\)
\(=\frac{4}{3}a^2bc-2a^2c-\frac{9}{2}a^2b+2a^2c+a^2b-a^2bc\)
\(=\left(\frac{4}{3}a^2bc-a^2bc\right)+\left(-2a^2c+2a^2c\right)+\left(-\frac{9}{2}a^2b+a^2b\right)\)
\(=\frac{1}{3}a^2bc+\left(-\frac{7}{2}a^2b\right)\)
b. \(2ab-2bc.c+ab+\frac{1}{2}c^2b-4cb^2+2bcb\)
\(=2ab-2bc^2+ab+\frac{1}{2}c^2b-4cb^2+2b^2c\)
\(=\left(2ab+ab\right)+\left(-2bc^2+\frac{1}{2}c^2b\right)+\left(-4cb^2+2b^2c\right)\)
\(=3ab+-\frac{3}{2}bc^2+-2b^2c\)
\(=b\left(3a-\frac{3}{2}c^2-2bc\right)\)
\(5xy\left(-2x^2y\right)=-10x^3y^2\)
Bậc : 5
\(\left(\frac{5}{4}ab^3\right)\left(-2b^2c\right)^2=\left(\frac{5}{4}ab^3\right)\left(4b^4c^2\right)=5ab^7c^2\)
Bậc : 10
Lời giải:
a)
\(-6a^2b.\frac{5}{2}bc^3=(-6.\frac{5}{2})(a^2b.bc^3)=-15a^2b^2c^3\)
Hệ số: -15
Bậc: $2+2+3=7$
b)
\((-2xy^3)^2.\frac{3}{8}xz^2=4x^2y^6.\frac{3}{8}xz^2=(4.\frac{3}{8})(x^2y^6.xz^2)\)
\(=\frac{3}{2}x^3y^6z^2\)
Hệ số : $\frac{3}{2}$
Bậc: $3+6+2=11$