find the product (2n-3y)(4x^2+6xy+9y^2)+(5x+3y)(25x^2-15xy+9y^2)
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Answer:
18ny2 + 12nyx + 8nx2 - 18y2x - 12yx2 + 125x3
Step-by-step explanation:
Answered by
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Considering question as
[(2x-3y)×(4x^2+6xy+9y^2)]+
[(5x+3y)×(25x^2-15xy+9y^2)]
Multiplying for simplification
=[(8x^3+12x^2y+18xy^2)+(-12x^2y-18xy^2-27y^3)]+
[(125x^3-75x^2y+45xy^2)+(75x^2y-45xy2+27y^3)]
Opening brackets and Re arranging the similar terms
=(8x^3+125x^3)+(-27y^3+27y^3)+(12x^2y-12x^2y)+(18xy^2-18xy^2)+(75x^2y-75x^2y)+(45xy^2-45xy^2)
=8x^3+125x^3+0+0+0+0+0
=133 x^3
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