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Find the missing terms in the equation so that it is true. b (3x−5)^2=(? + ?? +25)

please solve this i will pay you with 100 points

User Dauezevy
by
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2 Answers

4 votes

Answer:

9x², -30x

Explanation:

(3x−5)^2=(? + ?? +25)

(3x)² - 2(3x)(5) + (5)²

9x²- 30x + 25

User Meixu Song
by
3.7k points
4 votes

Answer:

9x^2 and -30x

Explanation:

Basically, what we want to do is expand out (3x - 5)^2, which is the same as (3x - 5)(3x - 5).

Use FOIL (first, outer, inner, last):

- the first terms are 3x and 3x, so multiply those together: 3x * 3x = 9x^2

- the outer terms are 3x and -5, so multiply those: 3x * (-5) = -15x

- the inner terms are -5 and 3x, so multiply those: (-5) * 3x = -15x

- the last terms are -5 and -5, so multiply those together: (-5) * (-5) = 25

Add all these together:

9x^2 + (-15x) + (-15x) + 25

9x^2 - 30x + 25

The missing terms are thus 9x^2 and -30x.

User Andrew Skirrow
by
3.7k points