Answer:
To solve a problem using the F-O-I-L method, we need to multiply the terms in each pair of parentheses and then add the products together.
(x - 5)(x + 5)
First terms: x * x = x^2
Outer terms: x * 5 = 5x
Inner terms: -5 * x = -5x
Last terms: -5 * 5 = -25
So the result is x^2 + 5x - 5x - 25 = x^2 - 25
(x + 3)(x + 5)
Inner terms: 3 * x = 3x
Last terms: 3 * 5 = 15
So the result is x^2 + 5x + 3x + 15 = x^2 + 8x + 15
(2x + 3y)(3x - 2y)
First terms: 2x * 3x = 6x^2
Outer terms: 2x * -2y = -4xy
Inner terms: 3y * 3x = 9xy
Last terms: 3y * -2y = -6y^2
So the result is 6x^2 - 4xy + 9xy
(x-5) (x+5)
= First terms: x × x = x²
= Outer terms: x × 5 = 5x
= Inner terms: -5 × x = -5x
= Last terms: -5 × 5 = -25
= x² + 5x - 5x - 25
= x² - 25
(x+3) (x+5)
= Inner terms: 3 × x = 3x
= Last terms: 3 × 5 = 15
= x² + 5x + 3x + 15
= x² + 8x + 15
(2x+3y) (3x-2y)
= First terms: 2x × 3x = 6x²
= Outer terms: 2x × -2y = -4xy
= Inner terms: 3y × 3x = 9xy
= Last terms: 3y × -2y = -6y²
= 6x² - 4xy + 9xy - 6y²
= 6x² + 5xy - 6y²
(x+6)²
= (x+6) × (x+6)
= x² + 6x + 6x + 36
= x² + 12x + 36
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Answers & Comments
Answer:
To solve a problem using the F-O-I-L method, we need to multiply the terms in each pair of parentheses and then add the products together.
(x - 5)(x + 5)
First terms: x * x = x^2
Outer terms: x * 5 = 5x
Inner terms: -5 * x = -5x
Last terms: -5 * 5 = -25
So the result is x^2 + 5x - 5x - 25 = x^2 - 25
(x + 3)(x + 5)
First terms: x * x = x^2
Outer terms: x * 5 = 5x
Inner terms: 3 * x = 3x
Last terms: 3 * 5 = 15
So the result is x^2 + 5x + 3x + 15 = x^2 + 8x + 15
(2x + 3y)(3x - 2y)
First terms: 2x * 3x = 6x^2
Outer terms: 2x * -2y = -4xy
Inner terms: 3y * 3x = 9xy
Last terms: 3y * -2y = -6y^2
So the result is 6x^2 - 4xy + 9xy
Answer:
(x-5) (x+5)
= First terms: x × x = x²
= Outer terms: x × 5 = 5x
= Inner terms: -5 × x = -5x
= Last terms: -5 × 5 = -25
= x² + 5x - 5x - 25
= x² - 25
(x+3) (x+5)
= First terms: x × x = x²
= Outer terms: x × 5 = 5x
= Inner terms: 3 × x = 3x
= Last terms: 3 × 5 = 15
= x² + 5x + 3x + 15
= x² + 8x + 15
(2x+3y) (3x-2y)
= First terms: 2x × 3x = 6x²
= Outer terms: 2x × -2y = -4xy
= Inner terms: 3y × 3x = 9xy
= Last terms: 3y × -2y = -6y²
= 6x² - 4xy + 9xy - 6y²
= 6x² + 5xy - 6y²
(x+6)²
= (x+6) × (x+6)
= x² + 6x + 6x + 36
= x² + 12x + 36