The answer is 90 + 45 because BOC is a right angled triangle where angle BOC is 90 and angle BOK is 45 because 90 ÷2. A OK Is a right angled triangle so angle AOB is 90 as well so to find angle AOK we plus 90 and 45 which is 135 degrees.
The greatest common factor of 64 and 96 is... uhh... hmm... 32! Because 64/32 is 2, and 96/32=3. 2 and 3 have no factors in common, except 1.
The answer is 32(2+3).
This means 32*2 + 32*3
this is the same as 64+96
First, think of it as 3 different expressions.Go through them one at a time. There is:
-2a(a+b-5) ] +3(-5a+2b) ] +b(6a+b-8)
Multiply everything out.] Multiply everything out. ]Multiply everything out
-2a x a = -2a² ] +3 x -5a = -15a ] +b x 6a = 6ab
-2a x b = -2ab ] +3 x 2b = 6b ] +b x b = b²
-2a x -5 = 10a ] -15a + 2b = -15a+2b ] +b x -8 = -8b -2a² + -2ab + 10a = ] ] 6ab + b² + -8b =
-2a²+-2ab+10a ] ] <span>6ab+b²+-8b
</span>Now add everything up, but before that, remember these algebraic rules:
∞A.S.S. Add Same Signs, meaning positive add positive or negative add negative equals a positive number or 0. E.g 1+1=1 and -1+-2= 1
∞S.I.D. Subtract If Different, meaning a positive number add a negative number always equals a negative number or 0. E.g 1 + -2 = -1
∞You can only add up "similar terms", meaning you can add 'terms' ending in 'a' for example with another 'term' ending in 'a'. However. you cannot add a term ending in 'a' to an 'ab' or an 'a²'.
Following these rules, -2a²+-2ab+10a+-15a+2b+<span>6ab+b²+-8b =
</span>4ab-5a-6b+b²-2a²
Hope that helps you and that it wasn't too tricky to understand. :)
