1- (4x−5y)2
=(4x+−5y)(4x+−5y)
=(4x)(4x)+(4x)(−5y)+(−5y)(4x)+(−5y)(−5y)
=16x2−20xy−20xy+25y2
=16x2−40xy+25y2
2-(3x+2y)2
=(3x+2y)(3x+2y)
=(3x)(3x)+(3x)(2y)+(2y)(3x)+(2y)(2y)
=9x2+6xy+6xy+4y2
=9x2+12xy+4y2
3-(2x+3y)2
=(2x+3y)(2x+3y)
=(2x)(2x)+(2x)(3y)+(3y)(2x)+(3y)(3y)
=4x2+6xy+6xy+9y2
=4x2+12xy+9y2
4-(−12y+7z)2
=(−12y+7z)(−12y+7z)
=(−12y)(−12y)+(−12y)(7z)+(7z)(−12y)+(7z)(7z)
=144y2−84yz−84yz+49z2
=144y2−168yz+49z2
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Primer ejercicio
1- (4x−5y)2
=(4x+−5y)(4x+−5y)
=(4x)(4x)+(4x)(−5y)+(−5y)(4x)+(−5y)(−5y)
=16x2−20xy−20xy+25y2
=16x2−40xy+25y2
2-(3x+2y)2
=(3x+2y)(3x+2y)
=(3x)(3x)+(3x)(2y)+(2y)(3x)+(2y)(2y)
=9x2+6xy+6xy+4y2
=9x2+12xy+4y2
3-(2x+3y)2
=(2x+3y)(2x+3y)
=(2x)(2x)+(2x)(3y)+(3y)(2x)+(3y)(3y)
=4x2+6xy+6xy+9y2
=4x2+12xy+9y2
4-(−12y+7z)2
=(−12y+7z)(−12y+7z)
=(−12y)(−12y)+(−12y)(7z)+(7z)(−12y)+(7z)(7z)
=144y2−84yz−84yz+49z2
=144y2−168yz+49z2