Express as a polynomial. (3x+2)(x-5)(5x+4)

preprekomW

preprekomW

Answered question

2021-02-10

Express as a polynomial.
(3x+2)(x5)(5x+4)

Answer & Explanation

smallq9

smallq9

Skilled2021-02-12Added 106 answers

Step 1
Given expression is
(3x+2)(x5)(5x+4)
It is known that
(a+b)(c+d)=a(c+d)+b(c+d)
=ac+ad+bc+bd
Step 2
(3x+2)(x-5)(5x+4)=(3x+2)[(x-5)(5x+4)]
=(3x+2)[x(5x+4)-5(5x+4)]
=(3x+2)[5x2+4x25x20]
=(3x+2)[5x221x20]
=3x[5x221x20]+2[5x221x20]
=15x363x260x+10x242x40
=15x353x2102x40
Hence,
(3x+2)(x5)(5x+4)=15x353x2102x40

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