splash screen. then/now you multiplied binomials by using the foil method. find squares of sums and...
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You multiplied binomials by using the FOIL method.
• Find squares of sums and differences.
• Find the product of a sum and a difference.
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Square of a Sum• The square of a + b is
o the square of a o plus twice the product of a and b o plus the square of b
o (a + b)2 = (a + b)(a + b) Ex: (x + 4)2 = (x + 4)(x + 4)o = a2 + 2ab + b2 = x2 + 8x + 16
Square of a Difference• The square of a – b is
o the square of a o minus twice the product of a and b o plus the square of b
o (a – b)2 = (a – b)(a – b) Ex: (x – 3)2 = (x – 3)(x – 3)o = a2 – 2ab + b2 = x2 – 6x + 9
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Square of a Sum
Find (7z + 2)2.
(a + b)2 = a2 + 2ab + b2 Square of a sum
(7z + 2)2 = (7z)2 + 2(7z)(2) + (2)2 a = 7z and b = 2
= 49z2 + 28z + 4 Simplify.
Answer: 49z2 + 28z + 4
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Find (3x + 2)2.
6%
78%
6%11%
A. 9x2 + 4
B. 9x2 + 6x + 4
C. 9x + 4
D. 9x2 + 12x + 4
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Square of a Difference
Find (3c – 4)2.
(a – b)2 = a2 – 2ab + b2 Square of a difference
(3c – 4)2= (3c)2 – 2(3c)(4) + (4)2 a = 3c and b = 4
= 9c2 – 24c + 16 Simplify.
Answer: 9c2 – 24c + 16
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Find (2m – 3)2.
0%
89%
6%6%
A. 4m2 + 9
B. 4m2 – 9
C. 4m2 – 6m + 9
D. 4m2 – 12m + 9
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Square of a Difference
GEOMETRY Write an expression that representsthe area of a square that has a side length of 3x + 12 units.
The formula for the area of a square is A = s2.
Answer: The area of the square is 9x2 + 72x + 144 square units.
A = s2 Area of a square
A = (3x + 12)2 s = (3x + 12)
A = (3x)2 + 2(3x)(12) + (12)2 a = 3x and b = 12
A = 9x2 + 72x + 144 Simplify.
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GEOMETRY Write an expression that represents the area of a square that has a side length of (3x – 4) units. 78%
0%6%
17%
A. 9x2 – 24x + 16 units2
B. 9x2 + 16 units2
C. 9x2 – 16 units2
D. 9x2 – 12x + 16 units2
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Product of a Sum and a Difference• The product of a + b and a – b is
o the square of a o minus the square of b
o (a + b)(a – b) = a2 – ab + ab – b2
o = a2 – b2
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Product of a Sum and a Difference
Find (9d + 4)(9d – 4).
(a + b)(a – b) = a2 – b2
(9d + 4)(9d – 4) = (9d)2 – (4)2 a = 9d and b = 4
= 81d2 – 16 Simplify.
Answer: 81d2 – 16
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Find (3y + 2)(3y – 2).
6%
78%
6%11%
A. 9y2 + 4
B. 6y2 – 4
C. 6y2 + 4
D. 9y2 – 4
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Assignment• Page 488 – 489• Problems 13 – 39, odds
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5 Nykayla Carreras
5 Alexander Vendrell
5 Melanie Vazquez
5 Jason Lowery
5 Jemikah Harrell