Question

factorise both a and b first x2-7x+10 second m2+11mn+18n2

Answer 1

(a) x^2 - 7x + 10

    = x^2 - 2x - 5x + 10

    = x(x - 2) - 5(x - 2)

    = (x - 2)(x - 5).



(b) m^2 + 11mn + 18n^2.

   = m^2 + 2mn + 9mn + 18n^2

   = m(m + 2n) + 9n(m + 2n)

   = (m + 2n)( m + 9n).


Hope this helps!

Answer 2

Answer:

${x}^{2} - 7x + 10 \\ {x}^{2} - 5x - 2x + 10 \\ x(x - 5) - 2(x - 5) \\ \underline{ \underline{ (x - 5)(x - 2) }} \\ \\ {m}^{2} + 11mn + 18 {n}^{2} \\ {m}^{2} + 9mn + 2mn + 18 {n}^{2} \\ m(m + 9n) + 2n(m + 9n) \\ \underline{ \underline{ (m + 9n)(m + 2n)}}$