THE DISTRIBUTIVE PROPERTY: Factoring the Expression

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Presentation transcript:

THE DISTRIBUTIVE PROPERTY: Factoring the Expression

REMEMBERING THE DISTRIBUTIVE PROPERTY a(b + c) = ab + ac Solve: 4(t – 5) 6y(5 + 4) 3(3r + 9) 7(4 – 1h) Are they equivalent? 3(4f – 6) = 12f – 18 2(5 + 4d) = 15 + 8d 5g(4 + 8) = 20g + 40g

FACTORING AN EXPRESSION 20g + 48 First, find the GCF of the two numbers. 4( ) Write the GCF outside the parentheses. 4( 5g + 12) Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same.

16b + 40 First, find the GCF of the two numbers. 8 Write the GCF outside the parentheses. 8( ) Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same. 8( 2b +5)

12f + 36 First, find the GCF of the two numbers. 12 Write the GCF outside the parentheses. 12( ) Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same. 12( f + 3)

24 -42r First, find the GCF of the two numbers. 6 Write the GCF outside the parentheses. 6( ) Divide the GCF into both the numbers. Keep the variable the same, and keep the sign the same. 6( 4 + 7r)

PRACTICE

4d + 8 4(d + 2) 21p + 35q 7(3p + 5q) 18x + 9y 9(2x + y) 20 – 16c Create equivalent expressions by factoring the expression. 4d + 8 4(d + 2) 21p + 35q 7(3p + 5q) 18x + 9y 9(2x + y) 20 – 16c 4(5 – 4c)

24g – 8h 8(3g - h) 4m + 4p 4(m + p) 15x - 25 5(3x + 5) 56 – 48c 8(7 – 6c)

30d + 18 6(5d + 3) 49d + 63 7(7d + 9) 36y – 40 4(9y - 10) 72d – 81 9(8d – 9)