passpadi

2008

Mathematics

67ca00ce0c643c71d77dee1f

Factorize completely; (4x+3y)2 - (3x-2y)2

A.

(x+5y)(7x+y)

B.

(x+5y)(7x-y)

C.

(x-5y)(7x+y)

D.

(x-5y)(7x-y)

Correct Answer: (x+5y)(7x+y)

Explanation

(4x+3y)2 - (3x-2y)2 Using the differences of two squares: (4x+3y+3x-2y)(4x+3y-(3x-2y)) (4x+3y+3x-2y)(4x+3y-3x+2y) (x+5y)(7x+y)

(4x+3y)2 - (3x-2y)2 Using the differences of two squares: (4x+3y+3x-2y)(4x+3y-(3x-2y)) (4x+3y+3x-2y)(4x+3y-3x+2y) (x+5y)(7x+y)
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