Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
12(log10(2))2x2−12(log10(2))2x+3(log10(2))2
Evaluate
log10(2)×(2x−1)2×log10(8)
Use the commutative property to reorder the terms
log10(2)×log10(8)×(2x−1)2
Simplify
More Steps
Evaluate
log10(8)
Write the number in exponential form with the base of 2
log10(23)
Calculate
3log10(2)
log10(2)×3log10(2)×(2x−1)2
Expand the expression
More Steps
Evaluate
(2x−1)2
Use (a−b)2=a2−2ab+b2 to expand the expression
(2x)2−2×2x×1+12
Calculate
4x2−4x+1
log10(2)×3log10(2)×(4x2−4x+1)
Multiply the terms
More Steps
Evaluate
log10(2)×3log10(2)
Multiply the terms
(log10(2))2×3
Use the commutative property to reorder the terms
3(log10(2))2
3(log10(2))2(4x2−4x+1)
Apply the distributive property
3(log10(2))2×4x2−3(log10(2))2×4x+3(log10(2))2×1
Multiply the numbers
12(log10(2))2x2−3(log10(2))2×4x+3(log10(2))2×1
Multiply the numbers
12(log10(2))2x2−12(log10(2))2x+3(log10(2))2×1
Solution
12(log10(2))2x2−12(log10(2))2x+3(log10(2))2
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