化简下列表达式,并在x=2时求值
(i) x+7+4(x−5)
(ii) 3(x+2)+5x−7
(iii) 6x+5(x−2)
(iv) 4(2x−1)+3x+11
已知:(i) x+7+4(x−5)
(ii) 3(x+2)+5x−7
(iii) 6x+5(x−2)
(iv) 4(2x−1)+3x+11
要求:化简表达式,并在x=2时求值。
解答
(i) x+7+4(x−5)
=x+7+4x−20
=x+4x+7−20
=5x−13
=5x−13
=5(2)−13 若x=2
=10−13
=−3
(ii) 3(x+2)+5x−7
=3x+6+5x−7
=8x−1
=8(2)−1 若x=2
=16−1
=15
(iii) 6x+5(x−2)
=6x+5x−10
=11x−10
=11(2)−10 若x=2
=22−10
=12
(iv) 4(2x−1)+3x+11
=8x−4+3x+11
=11x+7
=11(2)+7 若x=2
=22+7
=29
- 相关文章
- 因式分解:(i) 12x2−7x+1(ii) 2x2+7x+3(iii) 6x2+5x−6(iv) 3x2−x−4
- 化简下列式子:(3x2+5x−7)(x−1)−(x2−2x+3)(x+4)
- 当x=-1时,求下列表达式的值:(i) 2x−7(ii) −x+2(iii) x2+2x+1(iv) 2x2−x−2
- 计算下列乘积:(i) (x+4)(x+7)(ii) (x−11)(x+4)(iii) (x+7)(x−5)(iv) (x−3)(x−2)(v) (y2−4)(y2−3)(vi) (x+43)(x+34)(vii) (3x+5)(3x+11)(viii) (2x2−3)(2x2+5)(ix) (z2+2)(z2−3)(x) (3x−4y)(2x−4y)(xi) (3x2−4xy)(3x2−3xy)(xii) (x+15)(x+5)(xiii) (z+34)(z+43)(xiv) (x2+4)(x2+9)(xv) (y2+12)(y2+6)(xvi) (y2+57)(y2−145)(xvii) (p2+16)(p2−14)
- 化简:(x3−2x2+3x−4)(x−1)−(2x−3)(x2−x+1)
- 描述如何得到下列表达式:(i) 7xy+5, (ii) x2y, (iii) 4x2−5x。
- 化简:(3x + 4)(2x − 3) + (5x − 4)(x + 2)
- 求多项式5x−4x2+3在下列情况下的值:(i) x=0(ii) x=−1(iii) x=2
- 写出下列每个多项式的次数:(i) 5x3+4x2+7x(ii) 4−y2(iii) 5t−√7(iv) 3
- 用多项式 g(x) 除多项式 p(x),分别求出商和余数:(i) p(x)=x3−3x2+5x−3,g(x)=x2−2(ii) p(x)=x4−3x2+4x+5,g(x)=x2+1−x(iii) p(x)=x4−5x+6,g(x)=2−x2
- 求 (x+y)÷(x−y) 的值,如果:(i) x=23,y=32(ii) x=25,y=12(iii) x=54,y=−13(iv) x=27,y=43(v) x=14,y=32
- 计算下列代数表达式的和(i) 3a2b,−4a2b,9a2b(ii) 23a,35a,−65a(iii) 4xy2−7x2y,12x2y−6xy2,−3x2y+5xy2(iv) 32a−54b+25c,23a−72b+72c,53a+ 52b−54c(v) 112xy+125y+137x,−112y−125x−137xy(vi) 72x3−12x2+53,32x3+74x2−x+13 32x2−52x−2
- 下列哪些表达式不是多项式?(i) x2+2x−2(ii) √ax+x2−x3(iii) 3y3−√5y+9(iv) ax12y7+ax+9x2+4(v) 3x−3+2x−1+4x+5
- 化简下列式子:(3x+4)(2x−3)+(5x−4)(x+2)。
- 化简:(x2−3x+2)(5x−2)−(3x2+4x−5)(2x−1)