Question

49y²+84yz+36z²
Pls i want ans its urgent
​​​​​

Answer 1

49y²+84yz+36z² Final result : (7y + 6z)² Step by step solution : Step1: Equation at the end of step1: ((49 • (y²)) + 84yz) + (2²•3²z²) Step 2 : Equation at the end of step2: (7²y² + 84yz) + (2²•3²z²) Step3: Trying to factor a multi variable polynomial :

3.1 Factoring49y²+ 84yz + 36z² Try to factor this multi-variable trinomial using trial and error Found a factorization:(7y + 6z)•(7y + 6z)

Detecting a perfect square :

3.249y²+84yz+36z² is a perfect square It factors into(7y+6z)•(7y+6z) which is another way of writing(7y+6z)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 : (7y + 6z)²