Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor.\newline25q2−20q+425q^2 - 20q + 4

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Factor quadratics: special casesright chevron icon

Full solution

Q. Factor.\newline25q2−20q+425q^2 - 20q + 4
  1. Identify Perfect Square Trinomial: Identify if the quadratic is a perfect square trinomial. 25q2=(5q)225q^2 = (5q)^2, 4=224 = 2^2, and 20q=2×5q×220q = 2 \times 5q \times 2. Check if it fits the form (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2.
  2. Write in Form: Write the expression in the form of a perfect square trinomial. \newline25q2−20q+4=(5q)2−2×5q×2+2225q^2 - 20q + 4 = (5q)^2 - 2 \times 5q \times 2 + 2^2.
  3. Factor Trinomial: Factor the perfect square trinomial.\newline(5q)2−2×5q×2+22=(5q−2)2(5q)^2 - 2 \times 5q \times 2 + 2^2 = (5q - 2)^2.
  4. Check Factored Form: Check the factored form by expanding it to ensure it matches the original expression.\newline(5q−2)(5q−2)=25q2−10q−10q+4=25q2−20q+4(5q - 2)(5q - 2) = 25q^2 - 10q - 10q + 4 = 25q^2 - 20q + 4.

More problems from Factor quadratics: special cases

Question
Find the greatest common factor.\newline9v3,6v39v^3, 6v^3\newline\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline‾\underline{\hspace{1cm}}
Get tutor helpright-arrow

Posted 1 month ago

Question
Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6x3+9x26x^3 + 9x^2\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Factor.\newlinek2+9k+18k^2 + 9k + 18\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Factor.\newline9j2−169j^2 - 16\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Factor.\newlinej3+2j2+5j+10j^3 + 2j^2 + 5j + 10
Get tutor helpright-arrow

Posted 2 months ago

Question
Factor x4+6x2+9x^4 + 6x^2 + 9 completely.\newlineAll factors in your answer should have integer coefficients.\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Factor.\newlinez2+13z+22z^2 + 13z + 22\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify the expression: \newline5x+9x−4x−2x5x + 9x - 4x - 2x \newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
3−323 - 3^2
Get tutor helpright-arrow

Posted 3 months ago

Question
5−525 - 5^2
Get tutor helpright-arrow

Posted 1 month ago

View all (202)