What is the product of (7X squared Y cubed)(3X to the fifth power Y to the eighth power)

Mathematics

1 answer:

g100num [7]3 years ago

6 0

Answer:

$21x^7y^{11}$

Step-by-step explanation:

$(7x^2y^3)(3x^5y^8)$

$7y^3\times \:3x^{2+5}y^8$

$7y^3\times \:3x^7y^8$

$7\times \:3x^7y^{3+8}$

$7\times \:3x^7y^{11}$

$21\times x^7y^{11}$

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F(x+1)+f(x+2)=2x+3; f(x)=?

Rama09 [41]

Answer:

$F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1$

Step-by-step explanation:

$1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\
F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)

$

$2. \mathrm{Simplify}\\
F\left(x+1\right)=-xf+f+2x\\
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$3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\
\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1$