Question

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

Answer 1

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 !

Answer 2

Answer:

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

Step-by-step explanation:

Given quadratic equation:

$4x^2+20x+25$

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