Hello friend , I hope it's helps you
enjoy your day
Answer:
Factoring: y2-900
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 : 900 is the square of 30
Check : y2 is the square of y1
Factorization is : (y + 30) • (y - 30)
<h2>
</h2>
<h3>(OR)</h3>
<h2>
</h2>
![\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }](https://tex.z-dn.net/?f=%5Csf%7B%3D%5Cdfrac%7Bd%7D%7Bdx%7D%5Cbigg%5B%5Cdfrac%7Ba%5Ex%7D%7Bln%28a%29%7D%20%20%5Cbigg%5D%20%7D)
<h3>(Linear differentiation)</h3>
<h2>
</h2>
<h3>✭ Linear differentiation</h3>
→ ![\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}](https://tex.z-dn.net/?f=%5Csf%7B%5Ba.b%28x%29%2Bc.d%28x%29%5D%27%3Da.b%27%28x%29%2Bc.d%27%28x%29%7D)
<h3>✭ Exponential function rule</h3>
→ 
Answer:
6a+12b+18c
Each term in the bracket is multiplied by 6
