Answer:
3.2x²+13x+15
4.2x²+13x+15
5.21x²+11xy−40y²
6.x²−25
7.x²−4
8.9x²−1
9.x⁴−100
10.4x²+4xy+y²-z²
Step-by-step explanation:
3.(2x+3)(x+5)
=(2x+3)(x+5)
=(2x)(x)+(2x)(5)+(3)(x)+(3)(5)
=2x2+10x+3x+15
=2x²+13x+15
4.(2x+3)(x+5)
=(2x+3)(x+5)
=(2x)(x)+(2x)(5)+(3)(x)+(3)(5)
=2x2+10x+3x+15
=2x²+13x+15
5.7x−8y)(3x+5y)
=(7x+−8y)(3x+5y)
=(7x)(3x)+(7x)(5y)+(−8y)(3x)+(−8y)(5y)
=21x2+35xy−24xy−40y2
=21x²+11xy-40y²
6. (x+5)(x−5)
=(x+5)(x+−5)
=(x)(x)+(x)(−5)+(5)(x)+(5)(−5)
=x2−5x+5x−25
=x²−25
7.(x+2)(x−2)
=(x+2)(x+−2)
=(x)(x)+(x)(−2)+(2)(x)+(2)(−2)
=x2−2x+2x−4
=x²-4
8.3x−1)(3x+1)
=(3x+−1)(3x+1)
=(3x)(3x)+(3x)(1)+(−1)(3x)+(−1)(1)
=9x2+3x−3x−1
=9x²−1
9.x2−10)(x2+10)
=(x2+−10)(x2+10)
=(x2)(x2)+(x2)(10)+(−10)(x2)+(−10)(10)
=x4+10x2−10x2−100
=x⁴−100
10.2x+y−z)(2x+y+z)
=(2x+y+−z)(2x+y+z)
=(2x)(2x)+(2x)(y)+(2x)(z)+(y)(2x)+(y)(y)+(y)(z)+(−z)(2x)+(−z)(y)+(−z)(z)
=4x2+2xy+2xz+2xy+y2+yz−2xz−yz−z2
=4x²+4xy+y²−z²
SANA MAKATULONG
