Question

1. m^3+125n^3 2. xy^2-16x^3 3. -5x^2+30x-45 4. 7xy-42x+14y-84 5/ 10000-c^4

Answer 1

1)(m+5n)(m²-5mn+25n²)
2)x(y²-16x²)=x(y-4x)(y+4x)
3)-5(x²-6x+9)=-5*(x-3)²
4)7xy+14y-42x-84=7y(x+2)-42(x+2)=(x+2)(7y-42)=7(x+2)(y-6)
5)(100-c²)(100+c²)=(10-c)(10+c)(100+c²)

Answer 2

It seems like you've listed several algebraic expressions. If you have any specific questions or tasks related to these expressions, please let me know, and I'll be happy to help. For now, I can provide some basic information about each expression:

1. $m^3 + 125n^3$: This is a sum of two terms, a cubic term $m^3$ and a cubic term $125n^3$.

2. $xy^2 - 16x^3$: This is a difference of two terms, a product term $xy^2$ and a cubic term $16x^3$.

3. $-5x^2 + 30x - 45$: This is a trinomial, consisting of three terms: a quadratic term $-5x^2$, a linear term $30x$, and a constant term $-45$.

4. $7xy - 42x + 14y - 84$: This is a four-term expression. It includes a product term $7xy$, a linear term $-42x$, another linear term $14y$, and a constant term $-84$.

5. $10000 - c^4$: This is a difference of two terms, a constant term $10000$ and a quartic term $c^4$.

If you have specific questions about simplifying, factoring, or solving any of these expressions, please provide more details, and I'll be glad to assist you further.