Question

thực hiện phép nhân

a)\(\text{ (x+1)(1+x−x^2+x^3−x^4)−(x−1)(1+x+x^2+x^3+x^4)}\)

B) \(\text{(2b^2−2−5b+6b^3)(3+3b^2−b)}\)

c) \(\text{(2ab+2a^2+b^2)(2ab^2+4a^3−4a^2b)}\)

d) \(\text{(2a^3−0,02a+0,4a^5)(0,5a^6−0,1a^2+0,03a^4)}\)

Answer 1

a: \(=x^5+1-x^5+1=2\)

b: \(=\left(6b^3+2b^2-5b-2\right)\left(3b^2-b+3\right)\)

\(=18b^5-6b^4+18b^3+6b^4-2b^3+6b^2-15b^3+5b^2-15b-6b^2+2b-6\)

\(=18b^5+b^3+5b^2-13b-6\)

c: \(=\left(2a^2+2ab+b^2\right)\cdot2a\left(b^2+2a^2-2ab\right)\)

\(=2a\left[\left(2a^2+b^2\right)^2-4a^2b^2\right]\)

\(=2a\left(4a^4+b^4\right)=8a^5+2ab^4\)