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FOIL Method - Same First Variable>
FOIL Method – Same First Variable 1FOIL Method – Same First Variable 1
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Question 1 of 5
1. Question
Expand and simplify.`(p+6)(p-4)`Hint
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FOIL Method
Use the FOIL Method to expand and simplify the expression.Multiply the First, Outside, Inside, and Last terms, then simplify.$$\color{#00880A}{(p)(p)}+\color{#9a00c7}{(p)(-4)}+\color{#007DDC}{(6)(p)}+\color{#e65021}{(6)(-4)}$$ `=` `p^2+(-4p)+6p-24` `=` `p^2+(-4p+6p)-24` Collect like terms `=` `p^2+2p-24` `p^2+2p-24` -
Question 2 of 5
2. Question
Expand and simplify.`(u-7)(u+2)`Hint
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FOIL Method
Use the FOIL Method to expand and simplify the expression.Multiply the First, Outside, Inside, and Last terms, then simplify.$$\color{#00880A}{(u)(u)}+\color{#9a00c7}{(u)(2)}+\color{#007DDC}{(-7)(u)}+\color{#e65021}{(-7)(2)}$$ `=` `u^2+2u+(-7u)-14` `=` `u^2+(2u-7u)-14` Collect like terms `=` `u^2-5u-14` `u^2-5u-14` -
Question 3 of 5
3. Question
Expand and simplify.`(n-5)(n-6)`Hint
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FOIL Method
Use the FOIL Method to expand and simplify the expression.Multiply the First, Outside, Inside, and Last terms, then simplify.$$\color{#00880A}{(n)(n)}+\color{#9a00c7}{(n)(-6)}+\color{#007DDC}{(-5)(n)}+\color{#e65021}{(-5)(-6)}$$ `=` `n^2+(-6n)+(-5n)+30` `=` `n^2+(-6n-5n)+30` Collect like terms `=` `n^2-11n+30` `n^2-11n+30` -
Question 4 of 5
4. Question
Expand and simplify.`(x-1)(x-12)`Hint
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FOIL Method
Use the FOIL Method to expand and simplify the expression.Multiply the First, Outside, Inside, and Last terms, then simplify.$$\color{#00880A}{(x)(x)}+\color{#9a00c7}{(x)(-12)}+\color{#007DDC}{(-1)(x)}+\color{#e65021}{(-1)(-12)}$$ `=` `x^2+(-12x)+(-x)+12` `=` `x^2+(-12x-x)+12` Collect like terms `=` `x^2-13x+12` `x^2-13x+12` -
Question 5 of 5
5. Question
Expand and simplify.`(2x+4)(x+2)`Hint
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FOIL Method
Use the FOIL Method to expand and simplify the expression.Multiply the First, Outside, Inside, and Last terms, then simplify.$$\color{#00880A}{(2x)(x)}+\color{#9a00c7}{(2x)(2)}+\color{#007DDC}{(4)(x)}+\color{#e65021}{(4)(2)}$$ `=` `2x^2+4x+4x+8` `=` `2x^2+(4x+4x)+8` Collect like terms `=` `2x^2+8x+8` `2x^2+8x+8`
Quizzes
- Binomial Products – Distributive Property
- Binomial Products – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Expand Longer Expressions
- Highest Common Factor 1
- Highest Common Factor 2
- Factorise a Polynomial (HCF)
- Factorise a Polynomial 1
- Factorise a Polynomial 2
- Factorise a Polynomial with Integers
- Factorise Difference of Two Squares 1
- Factorise Difference of Two Squares 2
- Factorise Difference of Two Squares 3
- Factorise by Grouping in Pairs
- Factorise Difference of Two Squares (Harder) 1
- Factorise Difference of Two Squares (Harder) 2
- Factorise Difference of Two Squares (Harder) 3
- Factorise Trinomials (Quadratics) 1
- Factorise Trinomials (Quadratics) 2
- Factorise Trinomials (Quadratics) 3
- Factorise Trinomials (Quadratics) w Coefficient more than 1 (1)
- Factorise Trinomials (Quadratics) w Coefficient more than 1 (2)
- Factorise Trinomials (Quadratics) w Coefficient more than 1 (3)
- Factorise Trinomials (Quadratics) – Complex