Verified answer

Answer:

1. the four identities are -

a2-b2 =( a+b ) ( A-b )

(a+b)2 4( a2+2ab+b2)

x+a x+b= ( x2 + a+b ) x + ab

( a-b)2 = a2-2ab -b2

for this question u have to used a2-b2 identity

for this identity u have to find a no which decreased to 346square and increases to

453square and then apply identity (a+b) ( a-b) . u answar comes .

hope it helps you

Answer:

• The four identities are

[tex]\large\underline{\sf{ {(a+b) }^{2} = {a}^{2} + 2ab + {b}^{2} }}[/tex]

[tex]\large\underline{\sf{ {(a - b)}^{2} = {a}^{2} -2ab + {b}^{2} }}[/tex]

[tex]\large\underline{\sf{ {a}^{2} - {b}^{2} = (a +b )(a - b) }}[/tex]

[tex]\large\underline{\sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab }}[/tex]

• 126736

Step-by-step explanation:

[tex]\large\underline{\sf{( {356)}^{2} = (300 + 56 {)}^{2} }}[/tex]

[tex]\large\underline{\sf{ {300}^{2} + 2 \times 300 \times 56 + {56}^{2} }}[/tex]

[tex]\large\underline{\sf{90000 +33600 + 3136 }}[/tex]

[tex] \implies126736[/tex]

[tex]\large\underline{\sf{ {453}^{2} = {500}^{2} - 2 \times 500 \times 47 + {47}^{2} }}[/tex]

[tex]\large\underline{\sf{250000 - 47000 + 2209}}[/tex]

[tex] \implies205209[/tex]