Combining Like Terms with Exponents — Rules & Examples
Read this topicExplanations 4
- Square everything, and then remember the exponent properties When you're trying to simplify an expression with squared terms in it, the best thing to do is to square as much as …
By Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Joshua Siktar
- Combine terms with the same variable and the same exponent Remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtra…
By Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K
- You can add and subtract cubes with the same base You can add and subtract cubed terms from each other as long as they have the same base (the number that the exponent is attach…
By Zora Gilbert, Caroline K
- (Video) Adding and Subtracting Exponents by Mometrix Academy In this video she goes over what the parts of an exponent are and what you need in order to be able to add or subtra…
By Alex Federspiel, Caroline K, Joshua Siktar
Problems 27
- Simplify (3x)2+(2x)2.(3x)^2+(2x)^2.(3x)2+(2x)2.
- Simplify a2+4ab2+3a2b+3a2−3b3.a^2+4ab^2+3a^2b+3a^2-3b^3.a2+4ab2+3a2b+3a2−3b3.
- Simplify −8−8x2+7x2−8x+2+8x2+3x2+5x+3x2−7-8-8x^2+7x^2-8x+2+8x^2+3x^2+5x+3x^2-7−8−8x2+7x2−8x+2+8x2+3x2+5x+3x2−7
- Simplify 3x3+6x3y2+8x3y3+2x−y3+6x2y3+7y3+x33x^3+6x^3y^2+8x^3y^3+2x-y^3+6x^2y^3+7y^3+x^33x3+6x3y2+8x3y3+2x−y3+6x2y3+7y3+x3
- Simplify the following expression by combing like terms: (4x)2+3x2+13x(4x)^2+3x^2+13x(4x)2+3x2+13x
- Simplify the following expression by combining like terms: 2∗(12x2−3x2)2*(12x^2-3x^2)2∗(12x2−3x2)
- Simplify the following expression by combining like terms: (8x2−2x2)+x2(8x^2 - 2x^2)+x^2(8x2−2x2)+x2
- Simplify the following expression by combining like terms: 3x2+2y2−4x3x^2+2y^2-4x3x2+2y2−4x
- Simplify 3x2+8x23x^2+8x^23x2+8x2
- Simplify (2x)2+2x2(2x)^2+2x^2(2x)2+2x2
- Simplify 4x+9x24x+9x^24x+9x2
- If the sum of two algebraic expressions is 4a2+3ab−5b4a^2+3ab-5b4a2+3ab−5b and one of the expressions is 2a2−2ab+3b2a^2-2ab+3b2a2−2ab+3b What is the other expression?
- If the sum between two algebraic expressions is 3a2+4ab−2b3a^2+4ab-2b3a2+4ab−2b and one of the expressions is 8a2+6ab+5b8a^2+6ab+5b8a2+6ab+5b, what is the other expression?
- Simplify the following expression: 10+2a+8ab−5a+3b10+2a+8ab-5a+3b10+2a+8ab−5a+3b
- Which option should be added to the following expression to get 000? 9p2−8p+2+2p29p^2-8p+2+2p^29p2−8p+2+2p2
- Simplify the following expression: 3xyz+2x2+4x+3y+z−43xyz+2x^2+4x+3y+z-43xyz+2x2+4x+3y+z−4
- Simplify the following expression by combining like terms: 2x(3x2)+2x2x(3x^2)+2x2x(3x2)+2x
- Simplify the following expression by combining like terms: 3x3+2x2+x+7−x33x^3+2x^2+x+7-x^33x3+2x2+x+7−x3
- Simplify the following expression by combining like terms: 3xyz+19x3−2y3+7z33xyz+19x^3-2y^3+7z^33xyz+19x3−2y3+7z3
- Simplify the following expression by combining like terms: 3x3y+4xy3+5x33x^3y+4xy^3+5x^33x3y+4xy3+5x3
- The sum of two expressions is 8x3+4x2−y3+x8x^3+4x^2-y^3+x8x3+4x2−y3+x. If one of the expressions is 2x3+2x2+y3+72x^3+2x^2+y^3+72x3+2x2+y3+7, find the other expression.
- Simplify the expression: x+x2x+x\frac{x+x^2}{x+x}x+xx+x2 note: Think about how you might simplify the nominator and denominator differently.
- Simplify the following expression: 10x3−4y2+5x−8y−2x2+y3−y2+3x10x^3-4y^2+5x-8y-2x^2+y^3-y^2+3x10x3−4y2+5x−8y−2x2+y3−y2+3x
- Can you combine x3x^3x3 and y3y^3y3? What is x3+y3x^3 + y^3x3+y3?
- Simplify: x2+y3−3x2−y3x^2 +y^3-3x^2-y^3x2+y3−3x2−y3
- x2+x2y−y0x^2+x^2y-y^0x2+x2y−y0
- Simplify 2x3+3x3−3x3y2x^3+3x^3-3x^3y2x3+3x3−3x3y