Question

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Answer 1

$1. 9 p^{2}-4= (3p )^{2}- 2^{2}=(3p-2)(3p+2)$
$2. \frac{1}{36}- c^{2}=( \frac{1}{ 6^{2} } - c^{2})=( \frac{1}{6}-c)( \frac{1}{6}+c )$
$3. 4 x^{2}- y^{2} =( 2x)^{2} - y^{2}=(2x-y)(2x+y)$
$4. 36 x^{2}-25 y^{2} = (3x)^{2} -(5y) ^{2} =(3x-5y)(3x+5y)$
$5. a^{2} b^{2}-9=(ab)^{2} - 3^{ 2 } =(ab-3)(ab+3)$
$6. - a^{4}+81=-(a^{4}-81)=-((a^{2}) ^{2}- 9^{ 2 } )=-( a^{2} -9)(a ^{2} +9)=-(a-3)(a+3)(a^2+9)=(3-a)(a+3)(a^2+9)$

Answer 2

1)(3p-2)(3p+2)
2)(1/6-c)(1/6+c)
3)(2x-y)(2x+y)
4)(6x-5y)(6x+5y)
5)(ab-3)(ab+3)
6)(9-a²)(9+a2)=(3-a)(3+a)(9+a²)