Question

Lengkapi titik titik berikut dengan penjabaran perkalian !
1. (x - 6) (x + 6)
2. (x - y) (x + y)
3. (1 - 3p) (1 + 3p)
4. (2x² + 4) (2x² - 4)
5. (x + y) (x - y)

Answer 1

1. x² + 6x - 6x - 36
= x² - 36
2. x² + xy - xy -y²
= x² -y²
3. 1 + 3p -3p - 9p²
= 1 - 9p²
4.
=
5. x² - xy + xy - y²
= x² - y²

Answer 2

1.(x-6)(x+6)=((x) x (x)) + (x) x 6 + -6 x (x) + 6 x 6 =(x^2) + 6x - 6x + 36
=(x^2) - 36
2.(x-y) (x+y) = (x) x (x) + (x) x y + ((x) x -y) - y x y =(x^2) + xy - xy -y^2 =
(x^2) - y^2
3.(1-3p) (1+3p) = (1x1) + (1x3p) + (1x-3p) + -3px3p = 1 + 3p - 3p - (9p^2)
=1 - (9p^2)
4.(2(x^2) + 4) (2(x^2) -4 ) = 2(x^2) x 2(x^2) + 2(x^2) x -4 + 2(x^2) x 4 + -4 x 4 =
4(x^4) - 8(x^2) + 8(x^2) - 16 = 4(x^4) - 16
5. (x + y ) (x -y) = (x-y) (x+y) nilai samanya dengan nomor 2
dari situ dapat diambil kesimpulan (a+b) (a-b) = a^2 - b^2