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pochemuha
2 years ago
9

8TH GRADE MATH 100 POINTS+BRAINLIEST - Factor Quadratic equations- please write out the steps, explain simply, and possibly prov

ide a couple rules to remember for questions like these in the future. Any offensive answers or ones for the sake of points will be reported THANKS SO MUCH!!!
Also, 5 more 8th grade math questions are coming–GIVING AWAY 600 POINTS

Mathematics
2 answers:
Anestetic [448]2 years ago
6 0

Hello,

We have : (a + b)² = a² + 2ab + b²

4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B

Here, we have a = 2x and b = 5 !

AlladinOne [14]2 years ago
6 0

Answer:

\textsf{b.} \quad (2x+5)^2

Step-by-step explanation:

<u>Given quadratic equation</u>:

4x^2+20x+25

To factor a quadratic in the form ax^2+bx+c, find two numbers that multiply to ac and sum to b.

\implies ac=4 \times 25=100

\implies b=20

Factors of 100 that sum to 20:   10 and 10

Rewrite b as the sum of these two numbers:

\implies 4x^2+10x+10x+25

Factorize the first two terms and the last two terms separately:

\implies 2x(2x+5)+5(2x+5)

Factor out the common term (2x + 5):

\implies (2x+5)(2x+5)

Simplify:

\implies (2x+5)^2

Learn more about quadratic equations here:

brainly.com/question/27997764

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