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 the trinomial. 8x^(2)-5x+5y+24y^(2)1

Factor the trinomial.\newline8x2−5x+5y+24y28x^{2}-5x+5y+24y^{2}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify exponential expressions using the multiplication and division rulesright chevron icon

Full solution

Q. Factor the trinomial.\newline8x2−5x+5y+24y28x^{2}-5x+5y+24y^{2}
  1. Identify and Group Terms: Identify and group similar terms for easier manipulation. Group xx terms and yy terms separately.8x2−5x+5y+24y28x^2 - 5x + 5y + 24y^2 can be rewritten as (8x2−5x)+(5y+24y2)(8x^2 - 5x) + (5y + 24y^2).
  2. Factor Common Terms: Factor out the common terms in each group.\newlineFor the xx terms: 8x2−5x=x(8x−5)8x^2 - 5x = x(8x - 5).\newlineFor the yy terms: 5y+24y2=y(5+24y)5y + 24y^2 = y(5 + 24y).
  3. Combine Factored Groups: Combine the factored groups.\newlineThe expression becomes x(8x−5)+y(5+24y)x(8x - 5) + y(5 + 24y).
  4. Check for Further Factoring: Check if further factoring is possible.\newlineThe terms inside the parentheses, 8x−58x - 5 and 5+24y5 + 24y, do not have common factors and are not perfect squares or recognizable products for further factoring.

More problems from Simplify exponential expressions using the multiplication and division rules

Question
Order the expressions from least to greatest.\newline5242+2262−6 5^{2} \quad 4^{2}+2^{2} \quad 6^{2}-6
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression. Do not round your answer.\newline15(3+2+5)2= \frac{1}{5}(3+2+5)^{2}=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression.\newlineDo not round your answer.\newline5−322= 5-\frac{3^{2}}{2}=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the following expression.\newline83−9⋅2÷3= 8^{3}-9 \cdot 2 \div 3=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression. Do not round your answer.\newline14(6+3+1)2= \frac{1}{4}(6+3+1)^{2}=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression. Do not round your answer.\newline(2⋅3)2+52= (2 \cdot 3)^{2}+5^{2}=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression. Do not round your answer.\newline13(4⋅3)+23= \frac{1}{3}(4 \cdot 3)+2^{3}=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression.\newlineDo not round your answer.\newline2(32+42)= 2\left(3^{2}+4^{2}\right)=
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate.\newline2×10−7×2= 2 \times 10-7 \times 2=
Get tutor helpright-arrow

Posted 3 months ago

Question
−1.2−2920= -1.2-\frac{29}{20}= \newlineEnter the answer as an exact decimal or simplified fraction.
Get tutor helpright-arrow

Posted 3 months ago

View all (3)