To find the answer to this, you have multiply both expressions by each other. To do this, you have to multiply each term in the first expression by each term in the second expressions. This yields the following: 3x^4-9x^3-3x^2+5x^3-15x^2-5x+10x^2-30x-10. Combing like terms and simplifying gives the final expression: 3x^4 - 4x^3 - 8x^2 - 35x - 10

3 0

3 years ago

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Find the coordinates of point p that partition AB in the ratio 2:3 where A (-8,13) and B (2,-2)

Ray Of Light [21]

Check the picture below.

$\bf \left. \qquad \right.\textit{internal division of a line segment}
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A(-8,13)\qquad B(2,-2)\qquad
\qquad 2:3\textit{ from A to B}
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\cfrac{AP}{PB} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-8,13)=2(2,-2)\\\\
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{ P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\
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$\bf P=\left(\cfrac{(3\cdot -8)+(2\cdot 2)}{2+3}\quad ,\quad \cfrac{(3\cdot 13)+(2\cdot -2)}{2+3}\right)
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P=\left(\cfrac{-24+4}{5}~,~\cfrac{39-2}{5} \right)$

4 0

3 years ago