Q&A for How to Simplify Algebraic Expressions

To simplify algebraic expressions, the acronym PEMDAS is commonly used. It stands for Parentheses, Exponents, Multiplication, Division, Addition. and Subtraction. You do these operations in the order they appear. So first, you do what is in the parenthesis. Then, you calculate the exponents. Then you do multiplication and division, then finally, you add and subtract.

Simplify by multiplying like terms together: (-3)(4) = -12. (a^2)(a^5) = a^7. (b^2)(b^3) = b^5. The final product is -12a^7b^5.

(p² - 9) is the difference of squares and factors to (p + 3)(p - 3). (2p + 6) factors to 2(p + 3). (p² - 9) / (2p + 6) = (p + 3)(p - 3) / 2(p + 3) = (p - 3) / 2.

First perform the indicated multiplications. Then combine terms.

Perform the multiplication a second time (even a third time), and see if you get the same product.

You can't do much with it. All you can do is: 5(b-c) + 19a + 6d.

In algebra letters are used to indicate unknown quantities.

Factor a 2 out of the factor in parentheses: 6x(x² - 2x + 1). Then factor what remains in the parentheses: 6x (x - 1)(x - 1) = 6x (x - 1)².

First do the multiplication: (6a +30) + 7 = 11a - 12. Then do the adding: 6a + 37 = 11a - 12. Now subtract 6a from both sides, and add 12 to both sides: 49 = 5a. Divide by 5: 9.8 = a. (An unusual result, but there it is.)

First remove the parentheses. Then combine like terms. Then factor out any common factors: 5x² + 2x - (3x² - 2) = 5x² + 2x - 3x² + 2 = 2x² + 2x + 2 = 2(x² + x + 1).

(15x + 5) / (3x + 1) = 5(3x + 1) / (3x + 1) = 5.

Let's assume the expression is (4x - 4y) / (2y - 2x). In the numerator, factor out a 4. In the denominator, factor out a (-2). That makes the expression 4(x - y) / -2(x - y). After canceling, we're left with 2/-1, which simplifies to -2.

(4x - 4y) / (2y - 2x) = 2(2x - 2y) / (-2x + 2y) = 2(2x - 2y) / [(-1)(2x - 2y)] = 2 / -1 = -2.

6 + a + a = 6 + 2a = 10. Subtract 6 from both sides: 2a = 4. Divide both sides by 2: a = 2.

(8-10)(5+10) = (-2)(15) = -30.

Your expression would equal to 8a-8, since 16/2 = 8. 8(a-1) would be your answer.

Yes. First, take away the parenthesis. 2x-4 - 6x - 6 = -4x - 10. This would be the answer.

Find the cube root of both sides of the equation: the cube root of n³ is n. The cube root of 8 is 2. So n = 2.

(x - 5)(x + 6) = x² + 6x - 5x - 30 = x² + x - 30.

It's called factoring, Think of factoring an expression with exponents as dividing that expression by one of its factors. A factor of an expression is a number or expression that divides into the expression evenly.

12x - 6 + 4x² = 4x² +12x - 6 = 2(2x² + 6x - 3).

As you have written it, the expression is as simplified as it can get.

Combine like terms: (7n - 8n) + (k - 8k) + 3m = (-n) + (-7k) + 3m = -n -7k + 3m = 3m - n - 7k.

If you mean [20(x^6)] / 5x, you divide 20 by 5, and x^6 by x to get 4(x^5).