How do you find the product (3c+4d)^{2}?

Lauren Mullins

Lauren Mullins

Answered question

2022-02-11

How do you find the product (3c+4d)2?

Answer & Explanation

patriette65s

patriette65s

Beginner2022-02-12Added 15 answers

(3c+4d)2
=(3c+4d)×(3c+4d)
=3c×(3c+4d)+4d×(3c+4d)
=3c×3c+3c×4d+4d×3c+4d×4d
=9c2+24cd+16d2
Layla Humphrey

Layla Humphrey

Beginner2022-02-13Added 11 answers

Explanation:
Using the special product (a+b)2=a2+2ab+b2, we can set a=3c and b=4d to get
(3c+4d)2=(3c)2+2(3c)(4d)+(4d)2
=32c2+(2)(3)(4)cd+42d2
=9c2+24cd+16d2

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