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Yuri [45]
3 years ago
6

Multiply: (3x + 7)(5x2 − 3x + 6) A) 15x3 + 26x2 − 39x + 42 B) 15x3 + 26x2 + 3x + 42 C) 15x3 − 44x2 − 3x + 42 D) 15x3 + 26x2 − 3x

+ 42
Mathematics
1 answer:
myrzilka [38]3 years ago
3 0

Answer:

\Huge\boxed{15x^3+26x^2-3x+42}

Step-by-step explanation:

\text{Use FOIL:}\\\\(a+b)(c+d)=ac+ad+bc+bd

(3x + 7)(5x^2-3x + 6)\\\\=(3x)(5x^2)+(3x)(-3x)+(3x)(6)+(7)(5x^2)+(7)(-3x)+(7)(6)\\\\=15x^3-9x^2+18x+35x^2-21x+42\\\\\text{combine like terms}\\\\=15x^3+(-9x^2+35x^2)+(18x-21x)+42\\\\=15x^3+26x^2-3x+42

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