Find the product of (7x−4y) and (3x−7y). A. 21x^2 + 28y^2 + 61xy B. 21x^2 - 28y^2 - 61xy C. 21x^2 + 28y^2 - 61xy D. 21x^2 + 28y^2 - 37xy

Marin Mills

Marin Mills

Answered question

2023-03-22

Find the product of (7x−4y) and (3x−7y).
A. 21 x 2 + 28 y 2 + 61 x y
B. 21 x 2 28 y 2 61 x y
C. 21 x 2 + 28 y 2 61 x y
D. 21 x 2 + 28 y 2 37 x y

Answer & Explanation

Desiree Cantrell

Desiree Cantrell

Beginner2023-03-23Added 3 answers


( 7 x 4 y ) ( 3 x 7 y )
= ( 7 x × 3 x ) + ( 7 x × ( 7 y ) ) + ( ( 4 y ) × ( 3 x ) ) + ( ( 4 y ) × ( 7 y ) ) (Using distributive property)
= 21 x 2 49 x y 12 x y + 28 y 2
= 21 x 2 + 28 y 2 61 x y

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