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 completely: (x+8)(2x+9)^(2)-(2x+9)(2x+7) Answer:

Factor completely:\newline(x+8)(2x+9)2−(2x+9)(2x+7) (x+8)(2 x+9)^{2}-(2 x+9)(2 x+7) \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Factor numerical expressions using the distributive propertyright chevron icon

Full solution

Q. Factor completely:\newline(x+8)(2x+9)2−(2x+9)(2x+7) (x+8)(2 x+9)^{2}-(2 x+9)(2 x+7) \newlineAnswer:
  1. Recognize common factor: Recognize the common factor in both terms.\newlineThe common factor in both terms is (2x+9)(2x+9).
  2. Factor out common factor: Factor out the common factor (2x+9)(2x+9) from both terms.(2x+9)[(x+8)(2x+9)−(2x+7)](2x+9)[(x+8)(2x+9)-(2x+7)]
  3. Distribute and simplify: Distribute (2x+9)(2x+9) in the first term and simplify the expression inside the brackets.\newline(2x+9)[2x2+9x+16x+72−(2x+7)](2x+9)[2x^2 + 9x + 16x + 72 - (2x+7)]\newline(2x+9)[2x2+25x+72−2x−7](2x+9)[2x^2 + 25x + 72 - 2x - 7]
  4. Combine like terms: Combine like terms inside the brackets.\newline(2x+9)(2x2+23x+65)(2x+9)(2x^2 + 23x + 65)
  5. Check for further factorization: Check if the quadratic expression 2x2+23x+652x^2 + 23x + 65 can be factored further.\newlineThe quadratic expression does not factor nicely with integer coefficients, so it is already in its simplest form.

More problems from Factor numerical expressions using the distributive property

Question
Simplify the expression:\newline7z2+3z27z^2 + 3z^2 \newline ______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify the expression:\newline10f+8f−9f−6f10f + 8f - 9f - 6f\newline____
Get tutor helpright-arrow

Posted 1 month ago

Question
Subtract.\newline(3h+6)−(3h+2)(3h + 6) - (3h + 2)\newline____
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify the expression:\newline2p−p2p - p \newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
A school charges $6\$6 per ticket to a dance. They spend $300\$300 on music and decorations. The expression 6n−3006n-300 describes the amount of profit the school makes from the dance if nn students buy tickets. What does 6n6n represent in this context?\newlineChoices:\newline(A)The amount of money the school charges for all `\n` tickets\newline(B)The amount of money the school spends on the dance\newline(C)The number of students who buy tickets\newline(D)The profit the school earns per ticket
Get tutor helpright-arrow

Posted 2 months ago

Question
Which is equal to cos⁡60∘ \cos 60^\circ ? \newlineChoices:\newline(A) sin⁡30∘ \sin 30^\circ \newline(B) sin⁡60∘ \sin 60^\circ \newline(C) cos⁡30∘ \cos 30^\circ \newline(D) cos⁡60∘ \cos 60^\circ
Get tutor helpright-arrow

Posted 3 months ago

Question
Which is equal to sin⁡45∘\sin 45^\circ? \newlineChoices:\newline(A) cos⁡45∘\cos 45^\circ\newline(B) cos⁡55∘\cos 55^\circ\newline(C) sin⁡55∘\sin 55^\circ\newline(D) sin⁡35∘\sin 35^\circ
Get tutor helpright-arrow

Posted 1 month ago

Question
Which is equal to cos⁡75∘\cos 75^\circ? \newlineChoices:\newline(A) sin⁡15∘\sin 15^\circ\newline(B) sin⁡75∘\sin 75^\circ\newline(C) cos⁡15∘\cos 15^\circ\newline(D) cos⁡25∘\cos 25^\circ
Get tutor helpright-arrow

Posted 1 month ago

Question
Which is equal to sin⁡30∘ \sin 30^\circ ? \newlineChoices:\newline(A) cos⁡60∘ \cos 60^\circ \newline(B) cos⁡30∘ \cos 30^\circ \newline(C) sin⁡60∘ \sin 60^\circ \newline(D) sin⁡30∘ \sin 30^\circ
Get tutor helpright-arrow

Posted 1 month ago

Question
Which is equal to cos⁡45∘ \cos 45^\circ ? \newlineChoices:\newline(A) sin⁡45∘ \sin 45^\circ \newline(B) sin⁡55∘ \sin 55^\circ \newline(C) cos⁡55∘ \cos 55^\circ \newline(D) cos⁡35∘ \cos 35^\circ
Get tutor helpright-arrow

Posted 1 month ago

View all (46)