express into factors (x + 3y + 12z) (12yz + 4zx + xy) - 12xyz
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Step-by-step explanation:
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4x^2y + 12xy^2 + 9y^3
Simplifying
4x2y + 12xy2 + 9y3
Reorder the terms:
12xy2 + 4x2y + 9y3
Factor out the Greatest Common Factor (GCF), 'y'.
y(12xy + 4x2 + 9y2)
Factor a trinomial.
y((2x + 3y)(2x + 3y))
Final result:
y(2x + 3y)(2x + 3y)
Expression:
4x^2y + 12xy^2 + 9y^3
EXAMPLE EXPRESSION
Hint: Use the equation calculator for equations (containing = signs).
Quick-Start Guide
When you enter an expression into the calculator, the calculator will simplify the expression by expanding multiplication and combining like terms. At this point the calculator will attempt to factor the expression by dividing a GCF, and identifying a difference between two squares, or factorable trinomials. Use the following rules to enter expressions into the calculator.
Variables
Any lowercase letter may be used as a variable.
Exponents
Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not be placed on numbers, brackets, or parentheses.
Parentheses and Brackets
Parentheses ( ) and brackets [ ] may be used to group terms as in a standard expression.
Multiplication, Addition, and Subtraction
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is optional when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying parentheses, example: (x + 1)(x - 1).
Order of Operations
The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, Fractions
Division, square root, radicals, and fractions are not supported.
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