Please help me solve this!!!!!!!!?

Question

Simplify the expression

( 5 x + 3 ) ^2 + (4 x - 6 ) ^2

Answer 1

(25x^2 + 30x +9) + (16x^-48x+36)  ( used (a+b)^2 and (a-b)^2 formula.)

resolve same terms.

41x^2 - 18x +45

Answer 2

expand both brackets seperately

then add like terms

then re factorise

then vote mebest answer

Answer 3

= (25x^2 + 30x + 9) + (16x^2 - 48x + 36)

= 41x^2 - 18x + 45

Answer 4

25x^2+30x+9+16x^2-48x+36=41x^2-18x+45

Answer 5

>>

..this is more on special products..

..lets do it step by step..when the problem says you square it (e.g. 2^2, multiply the term by itself two times, if it's cube, 2^3 multiply the term by itself 3times...etc..thats monomial)

..now how about binomial..just like ur problem??

.first: square the first term, 5x --> 25x^2, square the last term, 3^2 --> 9, to find the middle term, multiply the (1st and 2nd term) times 2 --> (5x) times (3) = 15x times 2 --> 30x.

.so the first binomial's answer is 25x^2 + 30x + 9

..second binomial..the same,

.square the 1st term, 4x --> 16x^2, square the last term, -6 --> 36, multiply the (1st and 2nd term) times 2 (always), (4x) times (-6) = -24x times 2 --> -48x..

.answer for the 2nd binomial 16x^2 -48x + 36

..adding the two, (25x^2 + 30x + 9) + (16x^2 -48x + 36) will yield you -->41x^2 -18x + 45

..just always remember your index laws, multiplying variables --> add the exponents, addition of algebraic expressions and also how to add integers (signed numbers e.g. -4)

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..hoped u very well understood..and it was of great help..reply me back when u cant..\m/