Question

(а+4)^2-а(а+8)(7в-а)^2-(2а-в)(3а+2в)(2x-3y)(2x+3y)-(x-3y)​

Answer 1

А²+8а+16-а²-8а=16

49в²-14ав+а²-(6а²+4ав-3ав-2в²)=

=49в²-14ав+а²-(6а²+ав-2в²)=

=49в²+2в²-14ав-ав+а²-6а²=

=51в²-15ав-5а²

4х²-9у²-х+3у=4х²-х-9у²+3у

Answer 2

Ответ:

1) 16

2) -5^2-15ав+51в^2

3) 4 x^2 - x - 9 y^2 + 3 y

Объяснение:

Answer 3

To simplify the expression (а+4)^2 - а(а+8)(7в-а)^2 - (2а-в)(3а+2в)(2x-3y)(2x+3y) - (x-3y), let's break it down step by step:

Step 1: Expand (а+4)^2 (а+4)^2 = (а+4)(а+4) = а(а+4) + 4(а+4) = а^2 + 4а + 4а + 16 = а^2 + 8а + 16

Step 2: Expand а(а+8)(7в-а)^2 а(а+8)(7в-а)^2 = а(а+8)(49в^2 - 14ва + а^2) = а(а(49в^2 - 14ва + а^2) + 8(49в^2 - 14ва + а^2)) = а(49в^2а - 14ва^2 + а^3 + 392в^2 - 112ва + 8а^2) = 49в^2а^2 - 14ва^3 + а^4 + 392в^2а - 112ва^2 + 8а^3

Step 3: Expand (2а-в)(3а+2в)(2x-3y)(2x+3y) (2а-в)(3а+2в)(2x-3y)(2x+3y) = (6а^2 - в^2)(4x^2 - 9y^2) = 6а^2 * 4x^2 + 6а^2 * (-9y^2) - в^2 * 4x^2 - в^2 * (-9y^2) = 24а^2x^2 - 54а^2y^2 - 4в^2x^2 + 9в^2y^2

Step 4: Substitute the results from steps 1, 2, and 3 into the original expression: (а+4)^2 - а(а+8)(7в-а)^2 - (2а-в)(3а+2в)(2x-3y)(2x+3y) - (x-3y) = (а^2 + 8а + 16) - (49в^2а^2 - 14ва^3 + а^4 + 392в^2а - 112ва^2 + 8а^3) - (24а^2x^2 - 54а^2y^2 - 4в^2x^2 + 9в^2y^2) - (x - 3y) = а^2 + 8а + 16 - 49в^2а^2 + 14ва^3 - а^4 - 392в^2а + 112ва^2 - 8а^3 - 24а^2x^2 + 54а^2y^2 + 4в^2x^2 - 9в^2y^2 - x + 3y

So, the simplified expression is а^4 - 49в^2а^2 - 8а^3 + 112ва^2 + 14ва^3 + 8а - 392в^2а - 24а^2x^2 + 54а^2y^2 + 4в^2x^2 - 9в^2y^2 - x + 3y + 16.