Question

factorise it
1)20x^2-23x-21
2)m^2-14m-32

Answer 1

2 ...........

m² - 14m - 32

= m² - 16m + 2m - 32

= m (m-16) +2(m-16)

= (m+2)(m-16)

1...........

20x² - 23x - 21

= 20x² - 35x + 12x - 21

= 5x(4x-7) +3(4x-7)

= (5x+3)(4x-7)

Answer 2

$<b>Heya mate. (^_-). Solution below.$
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(i)

• 20x² - 23x - 21


[] Using the midterm split method -

=> 20x² - 23x - 21

= 20x² - 35x + 12x - 21

= 5x(4x - 7) + 3(4x - 7)

= (5x + 3)(4x - 7)


•°• 20x² - 23x - 21 = (5x + 3)(4x - 7)
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(ii)

• m² - 14m - 32


[] Using the midterm split method,

=> m² - 14m - 32

= m² - 16m + 2m - 32

= m(m - 16) + 2(m - 16)

= (m + 2)(m - 16)


•°• m² - 14m - 32 = (m + 2)(m - 16)

$<marquee>Hope the answers help you.</marquee>$
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Thank you...