Answer:
<u><em> 4 • (2a + 3b) • (2a - 3b)</em></u>
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(16 • (a2)) - (22•32b2)
Step 2 :
Equation at the end of step 2 :
24a2 - (22•32b2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
16a2 - 36b2 = 4 • (4a2 - 9b2)
Trying to factor as a Difference of Squares :
4.2 Factoring: 4a2 - 9b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + 3b) • (2a - 3b)
Final result :
4 • (2a + 3b) • (2a - 3b)
Answer:
x=9
Step-by-step explanation:
3x-x = 22-4
2x = 18
x = 18/2
x=9
Hope this helps!
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Answer:
The second term is 3
Step-by-step explanation:
C(n)=-6(-1/3) n-1
The first term of the sequence
C(1) = -6(-1/3)1-1
C(1) = (2)-1
C(1) = 1
C(n)=-6(-1/3) n-1
The second term of the sequence
C(2) = -6(-1/3)2-1
C(2) = -6(-2/3)-1
C(2) = 4-1
C(2) = 3
Answer:
0.95
Step-by-step explanation:
19/20 as a decimal is 0.95
