What is expand-3(a+5)(a+3)' ?

The solution to expand-3(a+5)(a+3)' is -3a(a+3)'-15(a+3)'

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expand-3(a+5)(a+3)'

expand

- 3 (a + 5) (a + 3)^{'}

- 3 a (a + 3)' - 15 (a + 3)'

Solution steps

- 3 (a + 5) (a + 3)^{'}

Apply the distributive law:

a (b + c) = ab + a c

a = - 3 (a + 3)^{'}, b = a, c = 5

= - 3 (a + 3)^{^{'}} a + (- 3 (a + 3)^{^{'}}) \cdot 5

Apply minus-plus rules

+ (- a) = - a

= - 3 a (a + 3)^{^{'}} - 3 \cdot 5 (a + 3)^{^{'}}

Multiply the numbers:

3 \cdot 5 = 15

= - 3 a (a + 3)^{^{'}} - 15 (a + 3)^{^{'}}

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What is expand-3(a+5)(a+3)' ?
The solution to expand-3(a+5)(a+3)' is -3a(a+3)'-15(a+3)'