Question

1. (2x+3)(x-y)=
2.(x+2y)(3x+4y)
3.(3a² + 4ab)(a-2)
4.(5p²+3)(p+4)
5.(3p-4)²
6.4(2y-3x)² - 2(3x-2y)²
di tambah caranya ya :) Biar mengerti

Answer 1

1. (2x+3)(x-y)= (2x)(x)+(2x)(-y)+(3)(x)+(3)(-y)= 2x²-2xy+3x-3y

2.(x+2y)(3x+4y)=(x)(3x)+(x)(4y)+(2y)(3x)+(2y)(4y)= 3x²+4xy+6xy+8y²= 3x²+10xy+8y²

3. (3a²+4ab)(a-2) = (3a²)(a)+(3a²)(-2)+(4ab)(a)+(4ab)(-2)= 3a³-6a²+4a²b-4ab

4. (5p²+3)(p+4)= (5p²)(p)+(5p²)(4)+(3)(p)+(3)(4)=5p³+ 20p²+3p+12

5. (3p-4)(3p-4)= (3p)(3p)+(3p)(-4)+(-4)(3p)+(-4)(-4) = 9p² -12p-12p+16 =9p²-24p+16

6. 4(2y-3x)² -2(3x-2y)²
= 4(2y-3x)(2y-3x) - 2(3x-2y)(3x-2y)
=4{(2y)(2y)+(2y)(-3x)+(-3x)(2y)+(-3x)(-3x)} -2{(3x)(3x)+(3x)(-2y)+(-2y)(3x)+ (-2y)(-2y)}
= 4{4y²-6xy-6xy+9x²} - 2{9x²-6xy-6xy+4y²}
=4{4y²-12xy+9x²} - 2{9x²-12xy+4y²}
=16y²-48xy+36x²-18x²+24xy-8y²
=8y²+18x²-24xy