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:

x^(2)+12 x+36

x2+12x+36 x^{2}+12 x+36

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Evaluate rational exponentsright chevron icon

Full solution

Q. x2+12x+36 x^{2}+12 x+36
  1. Recognize Quadratic Expression: Recognize the quadratic expression x2+12x+36x^2 + 12x + 36 as a perfect square trinomial.\newlineCalculate the factors of the constant term (36)(36) that add up to the coefficient of the xx term (12)(12).
  2. Calculate Factors: Notice that 6+6=126 + 6 = 12 and 6×6=366 \times 6 = 36. Write the expression as (x+6)(x+6)(x + 6)(x + 6) or (x+6)2(x + 6)^2.
  3. Write as Perfect Square Trinomial: Check the factoring by expanding (x+6)2(x + 6)^2 to ensure it equals the original expression.\newline(x+6)2=x2+2⋅6⋅x+62=x2+12x+36(x + 6)^2 = x^2 + 2\cdot6\cdot x + 6^2 = x^2 + 12x + 36, which matches the original expression.

More problems from Evaluate rational exponents

Question
f(x)=6x+52−14+5x f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}} \newlineWe want to find lim⁡x→−2f(x) \lim _{x \rightarrow-2} f(x) .\newlineWhat happens when we use direct substitution?\newlineChoose 11 answer:\newline(A) The limit exists, and we found it!\newline(B) The limit doesn't exist (probably an asymptote).\newline(C) The result is indeterminate.
Get tutor helpright-arrow

Posted 4 months ago

Question
Let x4+y2=17 x^{4}+y^{2}=17 .\newlineWhat is the value of d2ydx2 \frac{d^{2} y}{d x^{2}} at the point (−2,1) (-2,1) ?\newlineGive an exact number.
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the area of the region bound by the graphs of f(x)=x−2,g(x)=14−x f(x)=\sqrt{x-2}, g(x)=14-x , and x=2 x=2 ?\newlineChoose 11 answer:\newline(A) 196 \frac{19}{6} \newline(B) 992 \frac{99}{2} \newline(C) 1512 \frac{151}{2} \newline(D) 452 \frac{45}{2}
Get tutor helpright-arrow

Posted 2 months ago

Question
Let g(x)=x43 g(x)=x^{\frac{4}{3}} .\newlineg′(27)= g^{\prime}(27)=
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify ln⁡(1e) \ln \left(\frac{1}{\sqrt{e}}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify ln⁡(1e) \ln \left(\frac{1}{e}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 3 months ago

Question
y=(sin⁡−1(5x2))3y=(\sin^{-1}(5x^{2}))^{3}
Get tutor helpright-arrow

Posted 3 months ago

Question
(10x3−5x2−6x)÷(2x2)\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)
Get tutor helpright-arrow

Posted 3 months ago

Question
y=cos⁡4xsin⁡4xy=\cos^{4}x\sin^{4}x
Get tutor helpright-arrow

Posted 3 months ago

Question
35−310\frac{3}{5}-\frac{3}{10}
Get tutor helpright-arrow

Posted 3 months ago

View all (147)