Expert Answer to "How do you multiply 3x2y2z(7x2+2y+z+4w)?" - Plainmath

Secondary
Algebra
Algebra II
Polynomial factorization

Olivia Mcgrath

Answered question

2022-02-06

How do you multiply

3 x^{2} y^{2} z (7 x^{2} + 2 y + z + 4 w)

?

Answer & Explanation

vhudzeniy2n

Beginner2022-02-07Added 16 answers

Multiply each part of

7 x^{2} + 2 y + z + 4 w b y 3 x^{2} y^{2} z

3 x^{2} y^{2} z (7 x^{2}) = 21 x^{4} y^{2} z

3 x^{2} y^{2} z (2 y) = 6 x^{2} y^{3} z

3 x^{2} y^{2} z (z) = 3 x^{2} y^{2} z^{2}

3 x^{2} y^{2} z (4 w) = 12 x^{2} y^{2} z w

Then you add each part to get

21 x^{4} y^{2} z + 6 x^{2} y^{3} z + 3 x^{2} y^{2} z^{2} + 12 x^{2} y^{2} z w

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