Question

factorise it ,

1)m^2+7mn+10n^2

2)a^2+7a+12

3)x^2 + 5x+6

please solve this .

Answer 1

1.
m^2+7mn+10n^2
=m^2+5mn +2mn+10n^2
=m(m+5n)+2n(m+5n)
=(m+5n)(m+2n)

2.
a^2+7a+12
=a^2+3a+4a+12
=a(a+3)+4(a+3)
=(a+3)(a+4)

3.
x^2 + 5x+6
=x^2 + 2x +3x+6
=x(x+2)+3(x+2)
=(x+2)(x+3)

Answer 2

(1) Given Equation is m^2 + 7mn + 10n^2

⇒ m^2 + 5mn + 2mn + 10n^2

⇒ m(m + 5n) + 2n(m + 5n)

⇒ (m + 2n)(m + 5n).

(2) Given Equation is a^2 + 7a + 12

⇒ a^2 + 4a + 3a + 12

⇒ a(a + 4) + 3(a + 4)

⇒ (a + 3)(a + 4).

(3) Given Equation is x^2 + 5x + 6

⇒ x^2 + 2x + 3x + 6

⇒ x(x + 2) + 3(x + 2)

⇒ (x + 3)(x + 2).

Hope it helps!