Question

a) a2 – 4 =

b) 36 – m2 =

c) 25a2 – 9b2 =

d) y3 – x2y =

e) -16 + m4 =

f) 2p2 – 50q2 =

g) 3m4 – m2n2 =

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Answer 1

Respuesta:

a)

${a}^{2} - 4 = (a - 2)(a + 2)$

b)

$36 - {m}^{2} = (6 + m)(6 - m)$

c)

$25 {a}^{2} - 9 {b}^{2} = (5a - 3b)(5a + 3b)$

d)

${y}^{3} - {x}^{2} y = y( {y}^{2} - {x}^{2} ) = y(y - x)(y + x)$

e)

$- 16 + {m}^{4} = ( {m}^{2} - 4)( {m}^{2} + 4)$

f)

$2 {p}^{2} - 50 {q}^{2} = 2( {p}^{2} - 25 {q}^{2} ) = 2(p - 5q)(p + 25q)$

g)

$3 {m}^{4} - {m}^{2} {n}^{2} = {m}^{2} (3 {m}^{2} - {n}^{2} )$