Question

(a-2)(a2+2a+4); помогите пж

Answer 1

1)a2+a2=a4
2)a-2 умножить a4 =a8
3)a8+4=a12

Answer 2

Https://photomath.net/s/lqrqM

Answer 3

Factoring the Expression (a-2)(a^2+2a+4)

To factor the expression *(a-2)(a^2+2a+4)*, we can use the distributive property to expand the expression and then simplify it.

Expanding the expression *(a-2)(a^2+2a+4)*: 1. Multiply each term in the first expression by each term in the second expression. 2. Combine like terms.

The expanded expression is: *(a-2)(a^2+2a+4) = a(a^2+2a+4) - 2(a^2+2a+4)*

Now, let's simplify the expanded expression.

Simplifying the Expanded Expression

1. Simplify the first part of the expanded expression: *a(a^2+2a+4)* - This simplifies to *a^3 + 2a^2 + 4a*.

2. Simplify the second part of the expanded expression: *-2(a^2+2a+4)* - This simplifies to *-2a^2 - 4a - 8*.

Now, combine the simplified parts of the expanded expression: *(a-2)(a^2+2a+4) = a^3 + 2a^2 + 4a - 2a^2 - 4a - 8*

Simplify the combined terms: *(a-2)(a^2+2a+4) = a^3 - 8*

So, the factored form of the expression *(a-2)(a^2+2a+4)* is a^3 - 8.

Conclusion

The factored form of the expression *(a-2)(a^2+2a+4)* is a^3 - 8.