Expand the expression (6.9u+6.1)(9.3u-7.5)

 Exercise

$\left(6.9u+6.1\right)\left(9.3u-7.5\right)$

 

Multiply the single term $9.3u-7.5$ by each term of the polynomial $\left(6.9u+6.1\right)$

$6.9u\left(9.3u-7.5\right)+6.1\left(9.3u-7.5\right)$

 

Multiply the single term $6.9u$ by each term of the polynomial $\left(9.3u-7.5\right)$

$64.17u\cdot u-51.75u+6.1\left(9.3u-7.5\right)$

 

When multiplying two powers that have the same base ($u$), you can add the exponents

$64.17u^2-51.75u+6.1\left(9.3u-7.5\right)$

 

Multiply the single term $6.1$ by each term of the polynomial $\left(9.3u-7.5\right)$

$64.17u^2-51.75u+56.73u-45.75$

 

Combining like terms $-51.75u$ and $56.73u$

$64.17u^2+4.98u-45.75$

$64.17u^2+4.98u-45.75$

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