= 6x² + 16 xy + 8y²
Answers
Step-by-step explanation:
2 • (3x2 - 8xy + 4y)
Step by step solution :Step 1 :Equation at the end of step 1 : ((2•3x2) - 16xy) + 8y Step 2 :Step 3 :Pulling out like terms :
3.1 Pull out like factors :
6x2 - 16xy + 8y = 2 • (3x2 - 8xy + 4y)
Answer:
= (6x + 4y) ( x + 2y)
Step-by-step explanation:
First multiply the 6x^2 with 8y^2:
48(xy)^2
Now we need to find factors of 48 that when add up equal to 16
so we use prime factor decomposition:
2 * 2 * 2 * 2 * 3
we multiply: 2 * 2 and then 2 * 2 * 3
which gives us 4 and 12
and we know that 4 + 12 is equal to 16
Now we rewrite the equation, instead with 16 broken down as its factors'
= 6x²+ 12xy + 4xy + 8y²
Now we can easily factorise it:
= 6x ( x + 2y) + 4y ( x + 2y)
we collect like terms (brackets)
And final answer is:
= (6x + 4y) ( x + 2y)