Question

Find the product.
a 4(3a2 - 2a + 1)

(typed answers not selection)

Answer 1

Answer:

$3a^6-2a^5+a^4$

Step-by-step explanation:

Use the rules of indices to find the product.

One of the rules is that when we multiply indices that have the same base we add the powers. For example:

$x^4 * x^5 = x^9$

So to work out $a^4(3a^2-2a+1)$ we need to follow this rule.

Let's expand the bracket:

$a^4(3a^2-2a+1) = (a^4)(3a^2)+(a^4)(-2a)+(a^4)(1)$

Let's simplify keeping in mind the rule we know.

$(a^4)(3a^2)=3a^6$

$(a^4)(-2a) = -2a^5$ - remember that $a = a^1$

$(a^4)(1) = a^4$