{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

120_10.5_notes

# 120_10.5_notes - Mat120 Chapter 10 Section 5 Page 15...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Mat120 Chapter 10 - Section 5 Page 15 Factoring Special Forms THE DIFFERSNCE TWO- SQUARES IfA and B are-real numbers. variables. or ' algebraic éxprémions, than A! ~31 = (A + B}(A —3). In wordsﬂ'he difference of the squares of two temis factors as the product of a sum and a difference of those terms. Examples: a. 4x1 — 81 b. 9):“ — lﬁy‘ 4x ‘7 36¢“ 4932' (4x4) (‘HHL‘H (3)364?” (9";"4'3’v Textbook Problems: 4. 41::2 — 9 6. 16 — 49y2 2.x 3 H 1i (2.x-5)(a.x+3) (‘1_7,1)(q +761) 8' 6432 ' 253’: 14. x‘ —- y“; 5. (3X+5g)(s)X—-5\$L) (x’i‘g‘—}(X+g’j 16 (ax—6)2 — y’ 18 az — (II—3): (x—L) 9 0:. (19—3) (fx-«o3+‘1)(h““')"°’) (CL’I‘Cb’b‘Ha’th—M) Mat120 Chapter 10 - Section 5 Page 16 24. 2x3 — 72x 32. 4a-"c2 - 16 axzy’ axwz—SG) 1m(ofc'=-Lf x29" ) X to ac 2.33 an (’K+":)(X">) LfaLaL—Ax‘jwamelxa) Perfect trinomial Squares: Handle them like regular trinomials 50. 18+ 2:: +1 52. x1—14x+49 (mme (x—vwx—ﬂ FACTOR‘ING THE SUM AND DIFFERENCE OF TWO CUBE‘S l. Factoring the Sum :3me Cubes A3 + B3 = (A.+ BmF —- AB + 32) M U Same sign Opposite signs 2. Factormg the Diﬁm’mce (3me cubes A3—Ba=(A—B][A2+AB+BZJ U U Same Sign Opposite signs Mat120 Chapter 10 — Section 5 Page 17 Factoring Special Forms A3 +B3 = (A+B)(A2—AB+B2) A3—B3 = (A—B)(A2+AB+B2) r1 76. x3 + 1 so. 275,3 + 1 ﬂax 6:21;, 3% I Hﬂﬂﬁirivii )- z m”) mtpraw) '(39+n)( (533:3 33"“ ) (Xi-l) (XaJNX'I‘f'lL) (35+chﬂa‘w33‘H) (x+1) (X’LXH) 82 27x3 _ s 84. xays + 64 3X 2. X Y Li! 63—6) (mama) a WWW: WM 4;) (ax—,2) ((axwaxtm—a) ( } % W (ax—,1) (9x940 xw) XYW) (X9 +4x\{+ 3 86. 216x — x4 90. 125x61: y“; X04048) 5X V [a 2.. i“ '9’), x a i) (fxtaMéﬂQ/Mﬁ‘a +1 J) X((a—~><\(Cv—6’v‘>‘+x A..;L X a-“ (39+c><+><‘°”) ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

120_10.5_notes - Mat120 Chapter 10 Section 5 Page 15...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online