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𝒂 𝟐 + 2ab + 𝒃 𝟐 = ( a + b ) ( a + b ) = (𝒂 + 𝒃 ) 𝟐
𝒂 𝟐 - 2ab + 𝒃 𝟐 = ( a - b ) ( a - b ) = (𝒂 − 𝒃 ) 𝟐
Step 1
Get the square root of each term.
First Term: 𝒎 𝟐 = m
Third Term: 𝟏𝟔 = 4
Step 2
Using m and 4, form the sum ( m + 4)
and (m + 4)
Step 1
Get the square root of each term.
First Term: 𝒓 𝟐 = r
Third Term: 𝟔𝟒 = 8
Step 2
Using r and 8, form the difference
( r - 8) and (r - 8)
Step 1
Get the square root of each term.
First Term: 𝟑𝟔𝒚 𝟐 = 6y
Third Term: 𝟐𝟓𝑧 𝟐 = 5z
Step 2
Using 6y and 5z, form the difference
( 6y – 5z) and (6y – 5z)
Factoring Perfect Square Trinomial
Factoring Perfect Square Trinomial

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Factoring Perfect Square Trinomial

  • 1.
  • 2. 𝒂 𝟐 + 2ab + 𝒃 𝟐 = ( a + b ) ( a + b ) = (𝒂 + 𝒃 ) 𝟐 𝒂 𝟐 - 2ab + 𝒃 𝟐 = ( a - b ) ( a - b ) = (𝒂 − 𝒃 ) 𝟐
  • 3. Step 1 Get the square root of each term. First Term: 𝒎 𝟐 = m Third Term: 𝟏𝟔 = 4 Step 2 Using m and 4, form the sum ( m + 4) and (m + 4)
  • 4.
  • 5. Step 1 Get the square root of each term. First Term: 𝒓 𝟐 = r Third Term: 𝟔𝟒 = 8 Step 2 Using r and 8, form the difference ( r - 8) and (r - 8)
  • 6. Step 1 Get the square root of each term. First Term: 𝟑𝟔𝒚 𝟐 = 6y Third Term: 𝟐𝟓𝑧 𝟐 = 5z Step 2 Using 6y and 5z, form the difference ( 6y – 5z) and (6y – 5z)