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Vinvika [58]
3 years ago
6

Part A: Factor 3x2y2 − xy2 − 2y2. Show your work. (4 points)

Mathematics
1 answer:
Rudik [331]3 years ago
6 0
A.

3x^2y^2-xy^2-2y^2=y^2(3x^2-x-2)=y^2(3x^2+2x-3x-2)\\\\=y^2[x(3x+2)-1(3x+2)]=y^2(3x+2)(x-1)

B.

x^2+6x+9=x^2+2\cdot x\cdot3+3^2=(x+3)^2=(x+3)(x+3)\\\\\text{Used}\ (a+b)^2=a^2+2ab+b^2

C.

x^2-25=x^2-5^2=(x-5)(x+5)\\\\\text{Used}\ a^2-b^2=(a-b)(a+b)

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