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Multiply Binomials  FOIL Method>
Multiply Binomials – FOIL MethodMultiply Binomials – FOIL Method
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Question 1 of 6
1. Question
Expand and simplify.`(x+2)(y+3)`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.$$\color{#00880A}{(x)(y)}+\color{#9a00c7}{(x)(3)}+\color{#007DDC}{(2)(y)}+\color{#e65021}{(2)(3)}$$ `=` `xy+3x+2y+6` `xy+3x+2y+6` 
Question 2 of 6
2. Question
Expand and simplify.`(p+6)(q+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.$$\color{#00880A}{(p)(q)}+\color{#9a00c7}{(p)(4)}+\color{#007DDC}{(6)(q)}+\color{#e65021}{(6)(4)}$$ `=` `pq+4p+6q+24` `pq+4p+6q+24` 
Question 3 of 6
3. Question
Expand and simplify.`(5a6)(b2)`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.$$\color{#00880A}{(5a)(b)}+\color{#9a00c7}{(5a)(2)}+\color{#007DDC}{(6)(b)}+\color{#e65021}{(6)(2)}$$ `=` `5ab+(10a)+(6b)+12` `=` `5ab10a6b+12` `5ab10a6b+12` 
Question 4 of 6
4. Question
Expand and simplify.`(2m+1)(3n4)`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.$$\color{#00880A}{(2m)(3n)}+\color{#9a00c7}{(2m)(4)}+\color{#007DDC}{(1)(3n)}+\color{#e65021}{(1)(4)}$$ `=` `6mn+(8m)+3n4` `=` `6mn8m+3n4` `6mn8m+3n4` 
Question 5 of 6
5. Question
Expand and simplify.`(6v+4)(2u5)`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.$$\color{#00880A}{(6v)(2u)}+\color{#9a00c7}{(6v)(5)}+\color{#007DDC}{(4)(2u)}+\color{#e65021}{(4)(5)}$$ `=` `12vu+(30v)+8u20` `=` `12vu30v+8u20` `12vu30v+8u20` 
Question 6 of 6
6. Question
Expand and simplify.`(a+2)(a+3)`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.$$\color{#00880A}{(a)(a)}+\color{#9a00c7}{(a)(3)}+\color{#007DDC}{(2)(a)}+\color{#e65021}{(2)(3)}$$ `=` `a^2+3a+2a+6` `=` `a^2+5a+6` `a^2+5a+6`