Question

Can someone help me with this?

Connie is factoring 0.36t28 – 25 by using the rule a2 - 62 = (a + b)(a - b).
What will she use for the value of a?

0.36

0.6t14

0.6

0.06014

Answer 1

(b) 0.6t^14

Explanation:

The a^2 term in Connie's expression is ...

a^2 = 0.36t^28 = (0.6t^14)^2

That means ...

a = 0.6t^14

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Additional comment

The b^2 term is 25, so ...

b^2 = 25 = 5^2

b = 5

Connie's factoring will be ...

0.36t^28 -25 = (0.6t^14 -5)(0.6t^14 +5)