Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
Step-by-step explanation:
a=4 b=12
2a+3b=
2*4+3*12=
8+36=
44
a²-b+10=
4²-12+10=
4*4-2=
16-2=
14
(ab)²-(a+b)²=
(4*12)²-(4+12)²=
48²-16²=
(48+16)(48-16)=
64*32=
2048
Answer:
42x^2 - 7x - 6x + 1
42x^2 - 13x + 1 for FOIL method
To solve for x
7x - 1 = 0
7x = 1
x = 1/7
6x - 1 = 0
6x = 1
x = 1/6
Step-by-step explanation:
Answer:
A' 2,2
B' 3, -1
C' -1,0
Step-by-step explanation:
Because you're translating it by -2, 3, you're basically subtracting 2 from the x value and adding 3 to the y value.
A = 4, -1
A' = 2, 2
B = 5, -4
B' = 3, -1
C = 1, -3
C' = -1, 0