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FOIL Method - Same First Variable>
FOIL Method – Same First Variable 2FOIL Method – Same First Variable 2
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Question 1 of 4
1. Question
Expand and simplify.`(3f-1)(f+5)`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.$$\color{#00880A}{(3f)(f)}+\color{#9a00c7}{(3f)(5)}+\color{#007DDC}{(-1)(f)}+\color{#e65021}{(-1)(5)}$$ `=` `3f^2+15f-f-5` `=` `3f^2+(15f-f)-5` Collect like terms `=` `3f^2+14f-5` `3f^2+14f-5` -
Question 2 of 4
2. Question
Expand and simplify.`(4t+3)(3t+1)`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.$$\color{#00880A}{(4t)(3t)}+\color{#9a00c7}{(4t)(1)}+\color{#007DDC}{(3)(3t)}+\color{#e65021}{(3)(1)}$$ `=` `12t^2+4t+9t+3` `=` `12t^2+(4t+9t)+3` Collect like terms `=` `12t^2+13t+3` `12t^2+13t+3` -
Question 3 of 4
3. Question
Expand and simplify.`(6+4f)(3-f)`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.$$\color{#00880A}{(6)(3)}+\color{#9a00c7}{(6)(-f)}+\color{#007DDC}{(4f)(3)}+\color{#e65021}{(4f)(-f)}$$ `=` `18-6f+12f-4f^2` `=` `18` `-6f+12f` `-4f^2` Collect like terms `=` `18+6f-4f^2` `18+6f-4f^2` -
Question 4 of 4
4. Question
Expand and simplify.`(5-6t)(6-10t)`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.$$\color{#00880A}{(5)(6)}+\color{#9a00c7}{(5)(-10t)}+\color{#007DDC}{(-6t)(6)}+\color{#e65021}{(-6t)(-10t)}$$ `=` `30-50t-36t+60t^2` `=` `30` `-50t-36t` `+60t^2` Collect like terms `=` `30-86t+60t^2` `30-86t-60t^2`
Quizzes
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- Binomial Products – FOIL Method
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- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
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- 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