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230x^{2}+578x+21
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230x^{2}+578x+21
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5x^{2}-15x-7x+21+75x\left(3x+8\right)
Apply the distributive property by multiplying each term of 5x-7 by each term of x-3.
5x^{2}-22x+21+75x\left(3x+8\right)
Combine -15x and -7x to get -22x.
5x^{2}-22x+21+225x^{2}+600x
Use the distributive property to multiply 75x by 3x+8.
230x^{2}-22x+21+600x
Combine 5x^{2} and 225x^{2} to get 230x^{2}.
230x^{2}+578x+21
Combine -22x and 600x to get 578x.
5x^{2}-15x-7x+21+75x\left(3x+8\right)
Apply the distributive property by multiplying each term of 5x-7 by each term of x-3.
5x^{2}-22x+21+75x\left(3x+8\right)
Combine -15x and -7x to get -22x.
5x^{2}-22x+21+225x^{2}+600x
Use the distributive property to multiply 75x by 3x+8.
230x^{2}-22x+21+600x
Combine 5x^{2} and 225x^{2} to get 230x^{2}.
230x^{2}+578x+21
Combine -22x and 600x to get 578x.
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