Question

plzz Help me plzz Give me the correct answer and steps also plzz Give me the answer fastt​

Answer 1

Answer:

Step-by-step explanation:

(3x+5) (3x+5) (3x-5) (3x-5)

(9x^2 + 15x + 15x + 25 ) - (9x^2 - 15x - 15x + 25)

30x + 30x

60x

Answer 2

Here we have two identities to choose between:

1. $\sf{(a+b)^2=a^2+2ab+b^2}$

2. $\sf{(a+b)(a-b)=a^2-b^2}$

Here, 2nd identity is preferred as it shortens the calculation.

So let's solve the problem.

$\sf{L.H.S}$

$\sf{=\{(3x+5)+(3x-5)\}\{(3x+5)-(3x-5)\}$

$\sf{=(3x+5+3x-5)(3x+5-3x+5)}$

$\sf{=(6x)\times(10)}$

$\sf{=60x}$

$\sf{=R.H.S}$

$\sf{L.H.S=R.H.S}$, hence shown.

More information:

When L.H.S and R.H.S are always equivalent, such equivalence is referred as identity.

Identities help calculation, in a calculation such as 101³, we can apply identity to calculate it.

→ $\sf{(100+1)^3=100^3+3\times100^2\times1+3\times100\times1+1}$

→ $\sf{(100+1)^3=1000000+30000+300+1}$

→ $\sf{(100+1)^3=1030301}$