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19x^{2}+3x+43
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19x^{2}+3x+43
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10x^{2}-27x+18+\left(3x+5\right)^{2}
Use the distributive property to multiply 5x-6 by 2x-3 and combine like terms.
10x^{2}-27x+18+9x^{2}+30x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+5\right)^{2}.
19x^{2}-27x+18+30x+25
Combine 10x^{2} and 9x^{2} to get 19x^{2}.
19x^{2}+3x+18+25
Combine -27x and 30x to get 3x.
19x^{2}+3x+43
Add 18 and 25 to get 43.
10x^{2}-27x+18+\left(3x+5\right)^{2}
Use the distributive property to multiply 5x-6 by 2x-3 and combine like terms.
10x^{2}-27x+18+9x^{2}+30x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+5\right)^{2}.
19x^{2}-27x+18+30x+25
Combine 10x^{2} and 9x^{2} to get 19x^{2}.
19x^{2}+3x+18+25
Combine -27x and 30x to get 3x.
19x^{2}+3x+43
Add 18 and 25 to get 43.
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