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2\left(9w^{2}-30w+25\right)-19\left(3w-5\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3w-5\right)^{2}.
18w^{2}-60w+50-19\left(3w-5\right)+3
Use the distributive property to multiply 2 by 9w^{2}-30w+25.
18w^{2}-60w+50-57w+95+3
Use the distributive property to multiply -19 by 3w-5.
18w^{2}-117w+50+95+3
Combine -60w and -57w to get -117w.
18w^{2}-117w+145+3
Add 50 and 95 to get 145.
18w^{2}-117w+148
Add 145 and 3 to get 148.
2\left(9w^{2}-30w+25\right)-19\left(3w-5\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3w-5\right)^{2}.
18w^{2}-60w+50-19\left(3w-5\right)+3
Use the distributive property to multiply 2 by 9w^{2}-30w+25.
18w^{2}-60w+50-57w+95+3
Use the distributive property to multiply -19 by 3w-5.
18w^{2}-117w+50+95+3
Combine -60w and -57w to get -117w.
18w^{2}-117w+145+3
Add 50 and 95 to get 145.
18w^{2}-117w+148
Add 145 and 3 to get 148.