Expansion Of Parentheses And Simplification
Bayani Gaba-gaba
Parentheses package an expression up; expanding them opens the package out. Multiplying out parentheses and then tidying the result is one of the most-used moves in algebra, the gateway to solving equations, factorizing, and working with quadratics.
In this lesson you will expand a single set of parentheses, expand the product of two binomials, and simplify by collecting like terms. The golden rule is that the term outside multiplies every term inside, and getting that distribution right is the whole skill.
Manufura
- Expand the product of parentheses (brackets) and simplify the resulting expressions, including expanding two binomials.
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- Expand 3(2x + 5). A. 6x + 5 B. 6x + 15 C. 5x + 15 D. 2x + 15 Answer: B
- Expand -2(x - 4). A. -2x - 8 B. -2x + 8 C. 2x - 8 D. -2x - 4 Answer: B
- Expand (x + 3)(x + 5). A. x^2 + 15 B. x^2 + 8x + 15 C. x^2 + 8x + 8 D. 2x + 15 Answer: B
- Expand (2x - 1)(x + 4). A. 2x^2 + 7x - 4 B. 2x^2 - 7x - 4 C. 2x^2 + 9x - 4 D. 2x^2 + 7x + 4 Answer: A
- Simplify 2(x + 3) + 3(x - 1). A. 5x + 9 B. 5x + 3 C. 5x - 3 D. 6x + 3 Answer: B
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