factories the expression 4p2+12pq+9q2
Answers
Answer:
4p²+12pq+9q²
(2p)²+2×2p×3q+(3q)²
(2p+3q)²
Hope it's helpful...❤️
Step-by-step explanation:
Step by Step Solution:
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "q2" was replaced by "q^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((4 • (p2)) - 12pq) + 32q2
STEP
2
:
Equation at the end of step
2
:
(22p2 - 12pq) + 32q2STEP
3
:
Trying to factor a multi variable polynomial
3.1 Factoring 4p2 - 12pq + 9q2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (2p - 3q)•(2p - 3q)
Detecting a perfect square :
3.2 4p2 -12pq +9q2 is a perfect square
It factors into (2p-3q)•(2p-3q)
which is another way of writing (2p-3q)2
How to recognize a perfect square trinomial:
• It has three terms
• Two of its terms are perfect squares themselves
• The remaining term is twice the product of the square roots of the other two terms
Final result :
(2p - 3q)2(sq.)