What is expand-2(a+6)(a+7)' ?

The solution to expand-2(a+6)(a+7)' is -2a(a+7)'-12(a+7)'

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expand-2(a+6)(a+7)'

expand

- 2 (a + 6) (a + 7)^{'}

- 2 a (a + 7)' - 12 (a + 7)'

Solution steps

- 2 (a + 6) (a + 7)^{'}

Apply the distributive law:

a (b + c) = ab + a c

a = - 2 (a + 7)^{'}, b = a, c = 6

= - 2 (a + 7)^{^{'}} a + (- 2 (a + 7)^{^{'}}) \cdot 6

Apply minus-plus rules

+ (- a) = - a

= - 2 a (a + 7)^{^{'}} - 2 \cdot 6 (a + 7)^{^{'}}

Multiply the numbers:

2 \cdot 6 = 12

= - 2 a (a + 7)^{^{'}} - 12 (a + 7)^{^{'}}

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What is expand-2(a+6)(a+7)' ?
The solution to expand-2(a+6)(a+7)' is -2a(a+7)'-12(a+7)'