Question

2. Factorise 25x²-49y?
3. Factorise x?-14x+48
4. Find the common factors of 4x,8y, 12y?
5. x and y vary directly, If x1=5.yı=15,x2=7 find y?​

Answer 1

$\begin{gathered}25x^2-49y^2 = (5x)^2 - (7y)^2\\\\a^2-b^2 = (a+b)(a-b)\\\\a = 5x \ , b = 7y\\\\(5x)^2 - (7y)^2 = (5x + 7y)(5x-7y)\\\\hope \ it \ helps \ !!\end{gathered}$

2. Answer:

$\large (x-6)(x-8)(x−6)(x−8)</p><p>Step-by-step explanation:</p><p>\begin{gathered}\large \text{we have to factorise x^2-14x+48 }\\\\\\\large \text{By splitting mid term}\\\\\\\large \text{we have to make (ac=+-b) }\\\\\\\large \text{48= 8\times6 }\\\\\\\large p(x)=x^2-8x-6x+48\\\\\\\large p(x)=x(x-8)-6(x-8)\\\\\\\large p(x)=(x-6)(x-8)\end{gathered}$

$\begin{gathered}\large \text{Zeroes of p(x)}\\\\\\\large x-6=0\\\\\\\large \text{ x=6 or x-8=0 }\\\\\\\large x=8\\\\\\\large \text{Thus we factorise p(x) and we two factors (x-6) and (x-8)}\end{gathered}$

3. 4 Is the common factor

4. Refer the attachment ❤️