Activity 3: Do Me with Confidence Let's Find Out: How to use FOIL Method in finding product of two binomials Let's Use These Materials: Mathematics notebook and pen Let's Do It This Way:
1. Find the product of two binomials using FOIL Method.
2. Show your solutions.
3. Write the answers in your Mathematics notebook.
The first number will serve as your guide.
1. (a + 2) (a - 4) (a + 2)(a - 4) = a (a) + a (-4) + 2 (a) + 2 (-4) = a 2 - 4a + 2a - 8 (a + 2) (a - 4) = a2 – 2a - 8
2. (m - 5) (2m - 2)
3. (2x + 7) (3x - 2)
4. (3y - 4) (4y - 6)
5. (5y + 1)(y-2)
1. Find the product of two binomials using FOIL Method.
2. Show your solutions.
3. Write the answers in your Mathematics notebook.
The first number will serve as your guide.
1. (a + 2) (a - 4) (a + 2)(a - 4) = a (a) + a (-4) + 2 (a) + 2 (-4) = a 2 - 4a + 2a - 8 (a + 2) (a - 4) = a2 – 2a - 8
2. (m - 5) (2m - 2)
3. (2x + 7) (3x - 2)
4. (3y - 4) (4y - 6)
5. (5y + 1)(y-2)
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Answer:
1. ( a + 2 ) ( a - 4 ) = a(a) + a (-4) + 2(a) + 2(-4)
=a2 -4a +2a -8
( a + 2 ) (a - 4) = a2 - 2a - 8
2. ( m - 5 ) ( 2m - 2 ) = m(2m) + m (-2) + (-5)(2m) + (-5)(-2)
=2m2 -2m -10m -10
( m - 5 ) ( 2m - 2 ) = 2m2 -12m -10
3. ( 2x + 7 ) ( 3x - 2 ) = 2x(3x) + 2x (-2) + 7(3x) + 7(-2)
=6x2 -4x +21x -14
( 2x + 7 ) ( 3x - 2 ) = 6x2 + 17x -14
4. ( 3y - 4 ) ( 4y - 6) = 3y(4y) + 3y(-6) + (-4)(4y) + (-4)(-6)
=12y2 -18y -16y +24
( 3y - 4 ) ( 4y - 6 ) = 12y2 -34y +24
5. ( 5y + 1 ) ( y-2 ) = 5y(y) + 5y(-2) + 1(y) + 1(-2)
=5y2 -10y +y -2
( 5y + 1 ) ( y - 2 ) = 5y2 -9y -2