Factorize (a) \(\displaystyle{m}^{{{2}}}-{7}{m}{n}+{6}{n}^{{{2}}}\), (b) \(\displaystyle{m}^{{{2}}}-{7}{m}{n}+{6}{n}^{{{2}}}+{5}{n}-{30}{n}\).

xxgetthisar08

xxgetthisar08

Answered question

2022-04-05

Factorize
(a) m27mn+6n2,
(b) m27mn+6n2+5n30n.

Answer & Explanation

Carter Lin

Carter Lin

Beginner2022-04-06Added 13 answers

Step 1
To find the factors,we will use method
of MIDDLE TEAM SPLITTING
In then for expression of the form
ax2+bx+c=0 or ax2+bxy+cy2=0 ,
Think about two factos such that,
Product =cf
Sum =ba
Step 2 
(a) m27mn+6n2
m26mnmn+6n2
m(m6n)n(m6n)
(m-n)(m-6n)

Boehm98wy

Boehm98wy

Beginner2022-04-07Added 18 answers

(b) m27mn+62+5m30n
=m26mnmn+6n2+5(m6n)
=m(m6n)n(m6n)+5(m6n)
(mn)(m6n)+5(m6n)
(m6n)(mn+5)

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