Expert Answer to "Multiply the algebraic expressions using the FOIL method,..."

High School
Algebra
Algebra I
Algebra foundations

petrusrexcs

Answered question

2021-12-27

Multiply the algebraic expressions using the FOIL method, and simplify.

(2 t + 3) (t - 1)

Answer & Explanation

Samantha Brown

Beginner2021-12-28Added 35 answers

Step 1
The given expression is

(2 t + 3) (t - 1)

FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

Step 2

(2 t + 3) (t - 1) = 2 t \cdot t + 2 t (- 1) + 3 t + 3 (- 1)

= 2 t^{2} - 2 t + 3 t - 3

= 2 t^{2} + t - 3

Mary Goodson

Beginner2021-12-29Added 37 answers

Consider the algebraic expression

(2 t + 3) (t - 1)

Using the FOIL method,

(a + b) (c + d) = a c + a d + b c + b d

Then

(2 t + 3) (t - 1) = 2 t (t - 1) + 3 (t - 1)

= 2 t \cdot t + 2 t \cdot (- 1) + 3 \cdot t + 3 \cdot (- 1)

= 2 t^{2} - 2 t + 3 t + (- 3)

= 2 t^{2} + t - 3

Therefore,

(2 t + 3) (t - 1) = 2 t^{2} + t - 3

Vasquez

Expert2022-01-08Added 669 answers

$(2 t + 3) (t - 1)$
$(a + b) (c + d) = a c + a d + b c + b d$
$(2 t + 3) (t - 1) = 2 t (t - 1) + 3 (t - 1)$ Distributive property
$= 2 t \cdot t + 2 t \cdot (- 1) + 3 \cdot t + 3 \cdot (- 1)$ Distributive property
$= 2 t^{2} - 2 t + 3 t + (- 3)$ Laws of exponents and multiply
$= 2 t^{2} + t - 3$ Combine like terms and simplify
Answer: $(2 t + 3) (t - 1) = 2 t^{2} + t - 3$

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