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exis [7]
2 years ago
13

IF DONE CORRECTLY ILL AWARD 50 points NEED DONE ASAP

Mathematics
1 answer:
hram777 [196]2 years ago
5 0

Answer:

(5x + 3)² + 3

Step-by-step explanation:

25x² + 30x + 12 =

= (25x² + 30x) + 12

How do we make 25x² + 30x into a perfect square?

25x² is the square of 5x, so our binomial that is squared will start with

(5x + ___)²

We need to find the number that is added to 5x inside the parentheses.

The middle term of the squared binomial is 2 times the first term times the second term.

2(5x)b = 30x

b = 3

The binomial is (5x + 3).

When we square it, the last term will be 9. We need to add 9 to 25x² + 30x to have a perfect square. Then we also need to subtract 9 to not change the value of the expression.

= (25x² + 30x + 9) + 12 - 9

= (5x + 3)² + 3

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mr Goodwill [35]

Answer:

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