Question

1( m² + 15m + 56) = (____) (m+8)
2 a² +5ab + 6b²=(a +2b (_____)

pastor po ​

Answer 1

Explanation:

1.

`{m}^(2) + 15m + 56 = ( \: \: \: \: \: )(m + 8) \\ solution \\ \: \: taking \: lhs \\ = {m}^(2) + 15m + 5 \\ = {m}^(2) + (7 + 8)m + 56 \\ \: \: \: \: = {m}^(2) + 8m + 7m + 56 \: \: \\ now \: taking \: common \: factor \\ m(m + 8) + 7(m + 8) \\ (m + 7)(m + 8) \\ now \\ {m}^(2) + 15m + 56 = (m + 7)(m + 8)`

2.

`{a}^(2) + 5ab + 6 {b}^(2) = ( a + 2b)( \: \: \: \: \: \: \: \: ) \\ solution \\ taking \: \: lhs \\ = {a}^(2) + 5ab + 6 {b}^(2) \\ = {a}^(2) + ( 3+ 2)ab + 6 {b}^(2) \\ = {a}^(2) + 3ab + 2ab + 6 {b}^(2) \\now \: taking \: common \: factor \\ a(a + 3b) + 2b(a + 3) \\ (a + 2b)(a + 3) \\ now \\ {a}^(2) + 5ab + 6 {b}^(2) = ( a + 2b)( a + 3) ans`

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