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5. If $a + b = 13$ and $ab = 25$, find the value of $a^3 + b^3$. 6. Simplify: $(2a - 5b)^3 - (2a + 5b)^3$. 7. Using factor theorem, factorise $2a^4 + a^3 - 14a^2 - 19a - 6$. 8. Without actual division, prove that $-2a^4 - 5a^3 - a + 2$ is divisible by $a^2 - 3a + 2$.

          5. If $a + b = 13$ and $ab = 25$, find the value of $a^3 + b^3$.
6. Simplify: $(2a - 5b)^3 - (2a + 5b)^3$.
7. Using factor theorem, factorise $2a^4 + a^3 - 14a^2 - 19a - 6$.
8. Without actual division, prove that $-2a^4 - 5a^3 - a + 2$ is divisible by $a^2 - 3a + 2$.

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5. If a + b = 13 and ab = 25, find the value of a^3 + b^3.
6. Simplify: (2a - 5b)^3 - (2a + 5b)^3.
7. Using factor theorem, factorise 2a^4 + a^3 - 14a^2 - 19a - 6.
8. Without actual division, prove that -2a^4 - 5a^3 - a + 2 is divisible by a^2 - 3a + 2.

Added by Isaiah H.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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