Question
Simplify the expression
Solution
9×"4×a2−102363836423×"4×a+51181918×"4
Evaluate
"×(3a−12÷2023)×"×"×(3a−12÷2024)×"
Rewrite the expression in exponential form
"4×(3a−12÷2023)(3a−12÷2024)
Rewrite the expression
"4×(3a−202312)(3a−12÷2024)
Divide the terms
More Steps

Evaluate
12÷2024
Rewrite the expression
202412
Cancel out the common factor 4
5063
"4×(3a−202312)(3a−5063)
Multiply the terms
More Steps

Evaluate
"4×(3a−202312)
Apply the distributive property
"4×3a−"4×202312
Use the commutative property to reorder the terms
3×"4×a−"4×202312
Use the commutative property to reorder the terms
3×"4×a−202312×"4
(3×"4×a−202312×"4)(3a−5063)
Apply the distributive property
3×"4×a×3a−3×"4×a×5063−202312×"4×3a−(−202312×"4×5063)
Multiply the terms
More Steps

Evaluate
3×"4×a×3a
Multiply the numbers
9×"4×a×a
Multiply the terms
9×"4×a2
9×"4×a2−3×"4×a×5063−202312×"4×3a−(−202312×"4×5063)
Multiply the numbers
More Steps

Evaluate
3×5063
Multiply the numbers
5063×3
Multiply the numbers
5069
9×"4×a2−5069×"4×a−202312×"4×3a−(−202312×"4×5063)
Multiply the numbers
More Steps

Evaluate
−202312×3
Multiply the numbers
−202312×3
Multiply the numbers
−202336
9×"4×a2−5069×"4×a−202336×"4×a−(−202312×"4×5063)
Multiply the numbers
More Steps

Evaluate
−202312×5063
Reduce the numbers
−20236×2533
To multiply the fractions,multiply the numerators and denominators separately
−2023×2536×3
Multiply the numbers
−2023×25318
Multiply the numbers
−51181918
9×"4×a2−5069×"4×a−202336×"4×a−(−51181918×"4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
9×"4×a2−5069×"4×a−202336×"4×a+51181918×"4
Solution
More Steps

Evaluate
−5069×"4×a−202336×"4×a
Collect like terms by calculating the sum or difference of their coefficients
(−5069−202336)×"4×a
Subtract the numbers
More Steps

Evaluate
−5069−202336
Reduce fractions to a common denominator
−506×20239×2023−2023×50636×506
Multiply the numbers
−10236389×2023−2023×50636×506
Multiply the numbers
−10236389×2023−102363836×506
Write all numerators above the common denominator
1023638−9×2023−36×506
Multiply the numbers
1023638−18207−36×506
Multiply the numbers
1023638−18207−18216
Subtract the numbers
1023638−36423
Use b−a=−ba=−ba to rewrite the fraction
−102363836423
−102363836423×"4×a
9×"4×a2−102363836423×"4×a+51181918×"4
Show Solution
Factor the expression
Factor
10236389×"4×(2023a−4)(506a−1)
Evaluate
"×(3a−12÷2023)×"×"×(3a−12÷2024)×"
Rewrite the expression
"×(3a−202312)×"×"×(3a−12÷2024)×"
Divide the terms
More Steps

Evaluate
12÷2024
Rewrite the expression
202412
Cancel out the common factor 4
5063
"×(3a−202312)×"×"×(3a−5063)×"
Multiply the terms with the same base by adding their exponents
"1+1+1+1×(3a−202312)(3a−5063)
Add the numbers
"4×(3a−202312)(3a−5063)
Factor the expression
"4×20233(2023a−4)(3a−5063)
Factor the expression
"4×20233(2023a−4)×5063(506a−1)
Solution
10236389×"4×(2023a−4)(506a−1)
Show Solution