Question

Can you help me?

Answer 1

1B:

a: \(\dfrac{7\cdot5^8-8\cdot5^4+125}{5^2}=\dfrac{7\cdot5^8}{5^2}-\dfrac{8\cdot5^4}{5^2}+\dfrac{125}{25}\)

\(=7\cdot5^6-8\cdot5^2+5\)

\(=7\cdot15625-8\cdot25+5\)

\(=109180\)

b: \(\dfrac{3\cdot4^2+8^2+3\cdot16^2}{2^3}\)

\(=\dfrac{3\cdot2^4+2^6+3\cdot2^8}{2^3}\)

\(=3\cdot2+2^3+3\cdot2^5\)

\(=96+6+8=96+14=110\)

2A:

a: \(\dfrac{2x^3+3x^4-12x^2}{x}=\dfrac{2x^3}{x}+\dfrac{3x^4}{x}-\dfrac{12x^2}{x}=3x^3+2x^2-12x\)

b: \(\dfrac{4x^2y^3-9x^2y^2+25xy^4}{2xy^2}\)

\(=\dfrac{4x^2y^3}{2xy^2}-\dfrac{9x^2y^2}{2xy^2}+\dfrac{25xy^4}{2xy^2}\)

\(=2xy-\dfrac{9}{2}x+\dfrac{25}{2}y^2\)