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: 25x^(2)(x^(2)+3)-9(x^(2)+3) Answer:

Factor completely:\newline25x2(x2+3)−9(x2+3) 25 x^{2}\left(x^{2}+3\right)-9\left(x^{2}+3\right) \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:\newline25x2(x2+3)−9(x2+3) 25 x^{2}\left(x^{2}+3\right)-9\left(x^{2}+3\right) \newlineAnswer:
  1. Identify Common Factor: Identify the common factor in both terms.\newlineBoth terms have (x2+3)(x^{2} + 3) as a common factor.
  2. Factor Out Common Factor: Factor out the common factor (x2+3)(x^{2} + 3). The expression becomes (x2+3)(25x2−9)(x^{2} + 3)(25x^{2} - 9).
  3. Look for Further Factoring: Look for further factoring possibilities. The second term 25x2−925x^{2} - 9 is a difference of squares, which can be factored further.
  4. Factor Difference of Squares: Factor the difference of squares.\newlineThe difference of squares 25x2−925x^{2} - 9 can be factored into (5x+3)(5x−3)(5x + 3)(5x - 3).
  5. Write Completely Factored Expression: Write the completely factored expression.\newlineThe completely factored expression is (x2+3)(5x+3)(5x−3)(x^{2} + 3)(5x + 3)(5x - 3).

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)