Math  /  Algebra

Question11. \qquad (a+3b)(a+3b)=(a+3 b)(a+3 b)=
12. \qquad (3xy+6)(3xy6)=(3 x y+6)(3 x y-6)=
13. \qquad (m2)(m2)=(m-2)(m-2)=
14. \qquad (3t2)(3t2)=(3 t-2)(3 t-2)=
15. \qquad (x5)(x+5)=(x-5)(x+5)=
16. \qquad (8r2s24)(8r2s24)=\left(8 r^{2} s^{2}-4\right)\left(8 r^{2} s^{2}-4\right)=
17. \qquad (a+b)2=(a+b)^{2}=
18. \qquad (a+b)(ab)=(a+b)(a-b)=
19. \qquad (2abc)2=(2 a b-c)^{2}=
20. \qquad (2ab+c)(2abc)=(2 a b+c)(2 a b-c)=

Studdy Solution
Expression 20: (2ab+c)(2abc)(2ab+c)(2ab-c)
This is a difference of squares, which can be simplified using the identity (x+y)(xy)=x2y2(x+y)(x-y) = x^2 - y^2.
(2ab+c)(2abc)=(2ab)2c2 (2ab+c)(2ab-c) = (2ab)^2 - c^2
=4a2b2c2 = 4a^2b^2 - c^2

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