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.\newline16v2−8v+116v^2 - 8v + 1

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.\newline16v2−8v+116v^2 - 8v + 1
  1. Check Perfect Square Trinomial: Determine if the quadratic can be factored using the perfect square trinomial formula.\newlineA perfect square trinomial is in the form (a2±2ab+b2)(a^2 \pm 2ab + b^2) which factors to (a±b)2(a \pm b)^2.\newlineCheck if 16v2−8v+116v^2 - 8v + 1 fits this pattern.\newline16v216v^2 is a perfect square, as (4v)2=16v2(4v)^2 = 16v^2.\newline11 is a perfect square, as (1)2=1(1)^2 = 1.\newlineThe middle term, −8v-8v, is twice the product of 4v4v and 11, as (a±b)2(a \pm b)^200.\newlineSo, 16v2−8v+116v^2 - 8v + 1 is a perfect square trinomial.
  2. Factor Using Formula: Factor the perfect square trinomial using the formula (a2−2ab+b2)=(a−b)2(a^2 - 2ab + b^2) = (a - b)^2.\newlineHere, a=4va = 4v and b=1b = 1.\newline(16v2−8v+1)=(4v−1)2(16v^2 - 8v + 1) = (4v - 1)^2

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)