Factorize

Question 1:  $6xy-4xz$

$6xy-4xz=2x(3y-2z)$

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Question 2:  $9bx^2+15b^2 x$

$9bx^2+15b^2 x=3b x(3x+5b)$

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Question 3:  $4a^2 b-6ab^2+8ab$

$4a^2 b-6ab^2+8ab=2ab (2a-3b+4)$

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Question 4:  $5x^2+15x^3-20x$

$5x^2+15x^3-20x=5x(x+3 x^2-4)$

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Question 5:  $2x^3+x^2-4x$

$2x^3+x^2-4x=x(2x^2+x-4)$

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Question 6:  $a^3 b-a^2 b^2-b^3$

$a^3 b-a^2 b^2-b^3=b (a^3-a^2 b-b^2)$

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Question 7:  $28a^2 b^2 c-42ab^2 c^2$

$28a^2 b^2 c-42ab^2 c^2=14 ab^2 c (2a-3c)$

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Question 8:  $15 x^2 y-6xy^2+9y^3$

$15 x^2 y-6xy^2+9y^3=3y (5x^2-2xy+3y^2 )$

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Question 9:  $10x^2 y+15xy^2-25x^2 y^2$

$10x^2 y+15xy^2-25x^2 y^2=5xy (2x+3y-5xy)$

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Question 10:  $18x^2 y-24xyz$

$18x^2 y-24xyz=6xy (3x-4z)$

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Question 11:  $27a^3 b^3-45a^4 b^2$

$27a^3 b^3-45a^4 b^2=9a^3 b^2 (3b-5a)$

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Question 12:  $4(a+b)-6(a+b)^2$

$4(a+b)-6(a+b)^2=(a+b)(4-6a-6b)$

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Question 13:  $2a(3x+5y)-5b(3x+5y)$

$2a(3x+5y)-5b(3x+5y)=(3x+5y)(2a-5b)$

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Question 14:  $2x(p^2+q^2 )+4y(p^2+q^2 )$

$2x(p^2+q^2 )+4y(p^2+q^2 )=(p^2+q^2 )(2x+4y)$

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Question 15:  $8(3a-2b)^2-10(3a-2b)$

$8(3a-2b)^2-10(3a-2b)=(3a-2b){8(3a-2b)-10}$

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Question 16:  $x(x+y)^3-3x^2 y(x+y)$

$x(x+y)^3-3x^2 y(x+y)=x(x+y){(x+y)^2-3xy}=x(x+y)(x^2+y^2-2y)$

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Question 17: $a(3x-2y)+b(2y-3x)$

$a(3x-2y)+b(2y-3x)=(3x-2y)(a-b)$

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Question 18:  $a(b-c)^2-d(c-b)$

$a(b-c)^2-d(c-b)=(b-c){a(b-c)+d}$

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Question 19:  $a(4a-b)+2b(4a-b)-c(4a-b)$

$a(4a-b)+2b(4a-b)-c(4a-b)=(4a-b)(a+2b-c)$
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Question 20:  $m(mx+ny)^2+mn(mx+ny)+n(mx+ny)$
$m(mx+ny)^2+mn(mx+ny)+n(mx+ny)=(mx+ny)(m^2 x+mny+mn+n)$