Bài 5:
c: Ta có: \(7x\left(x-2\right)-5\left(x-1\right)=7x^2+3\)
\(\Leftrightarrow7x^2-14x-5x+5=7x^2+3\)
\(\Leftrightarrow-19x=-2\)
hay \(x=\dfrac{2}{19}\)
d: Ta có: \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+11\)
\(\Leftrightarrow10x-16-12x+15=12x-16+11\)
\(\Leftrightarrow-14x=-4\)
hay \(x=\dfrac{2}{7}\)
Bài 6:
a: Ta có: \(a\left(b-c\right)-b\left(a+c\right)+c\left(a-b\right)\)
\(=ab-ac-ab-bc+ac-bc\)
=-2bc
b: Ta có: \(a\left(1-b\right)+a\left(a^2-1\right)\)
\(=a\left(1-b+a^2-1\right)\)
\(=a\left(a^2-b\right)\)