初一整式的乘法練習(xí)題

初一整式的乘法練習(xí)題一、單項(xiàng)式乘單項(xiàng)式1.計(jì)算：(3x)(4x)2.計(jì)算：(2a)(5b)3.計(jì)算：(7m^2)(3n)4.計(jì)算：(4p^3)(3q^2)5.計(jì)算：(5xy)(6xz)二、單項(xiàng)式乘多項(xiàng)式1.計(jì)算：3x(2x5y+4z)2.計(jì)算：2a(3a^2+4b7c)3.計(jì)算：5m^2(4m3n+2p)4.計(jì)算：4p^3(2q^25r+3s)5.計(jì)算：7xy(3x^24y^2+5z)三、多項(xiàng)式乘多項(xiàng)式1.計(jì)算：(x+2y)(3x4y)2.計(jì)算：(a3b+2c)(2a+4b5c)3.計(jì)算：(m+4n3p)(5m2n+7p)4.計(jì)算：(2x^25y^2+3z)(3x^2+4y^26z)5.計(jì)算：(4a^33b^2+2c^2)(a^22b+3c)四、平方差公式1.計(jì)算：(x+y)(xy)2.計(jì)算：(2a3b)(2a+3b)3.計(jì)算：(m+4n)(m4n)4.計(jì)算：(5p2q)(5p+2q)5.計(jì)算：(3x^24y^2)(3x^2+4y^2)五、完全平方公式1.計(jì)算：(x+2y)^22.計(jì)算：(a3b)^23.計(jì)算：(m+4n)^24.計(jì)算：(2p5q)^25.計(jì)算：(3x^2+4y^2)^2六、綜合運(yùn)用1.計(jì)算：(2x3y)(3x+4y)(4x5y)(2x+3y)2.計(jì)算：(a+2b3c)(a2b+3c)+(a4b+5c)(a+4b5c)3.計(jì)算：(m^22n^2+3p^2)(m^2+2n^23p^2)(4m^2+5n^26p^2)(m^25n^2+6p^2)4.計(jì)算：(x^32y^3+3z^3)(x^3+2y^33z^3)+(4x^35y^3+6z^3)(x^3+5y^36z^3)5.計(jì)算：(a^4b^4+c^4)(a^4+b^4c^4)(2a^4+3b^44c^4)(a^43b^4+4c^4)七、多項(xiàng)式乘單項(xiàng)式的拓展1.計(jì)算：4x(3x^25x+2)2(7x^23x+1)2.計(jì)算：3a(a^2+2ab4b^2)+5b(2a^2ab+3b^2)3.計(jì)算：6m(m^23mn+2n^2)m(4m^2+5mnn^2)4.計(jì)算：2p(3p^24pq+5q^2)+3q(5p^22pq+3q^2)5.計(jì)算：4xy(2x^2+3xyy^2)+2x(5x^24xy+3y^2)八、多項(xiàng)式乘多項(xiàng)式的拓展1.計(jì)算：(x2y+3z)(4x+5y6z)(3x4y+5z)(2x+3y4z)2.計(jì)算：(a+3b5c)(2a4b+6c)+(4a5b+3c)(a2b+3c)3.計(jì)算：(mn+2p)(3m+2n4p)(5m+2n3p)(mn+p)4.計(jì)算：(2x^23y^2+4z^2)(x^2+y^22z^2)+(3x^2+4y^25z^2)(x^2y^2+2z^2)5.計(jì)算：(a^3b^3+c^3)(a^3+b^3c^3)(2a^3+3b^34c^3)(a^3b^3+2c^3)九、特殊乘法公式應(yīng)用1.計(jì)算：(x+1)(x1)(x+2)(x2)2.計(jì)算：(a+3)(a3)(a+4)(a4)3.計(jì)算：(m+n)(mn)(m+2n)(m2n)4.計(jì)算：(2p+q)(2pq)(3p+q)(3pq)5.計(jì)算：(x^2+y^2)(x^2y^2)(x^2+2y^2)(x^22y^2)十、應(yīng)用題1.一個(gè)長方形的長是x米，寬是(x2)米，求這個(gè)長方形的面積。2.一個(gè)正方形的邊長是(a+3)厘米，求這個(gè)正方形的面積。3.一個(gè)三角形的底是(2m4)米，高是(3m+1)米，求這個(gè)三角形的面積。4.一個(gè)梯形的上底是(4p+3)厘米，下底是(6p5)厘米，高是(2p+1)厘米，求這個(gè)梯形的面積。5.一個(gè)矩形的周長是2(x+5)+2(x3)厘米，求這個(gè)矩形的面積。答案一、單項(xiàng)式乘單項(xiàng)式1.12x^22.10ab3.21mn4.12pq^25.30xyz二、單項(xiàng)式乘多項(xiàng)式1.6x^215xy+8xz2.6a^3+8ab14ac3.5m^3+8mn6mp4.8p^4+15p^3q^212p^3s5.21x^2y24xy^2+35xyz三、多項(xiàng)式乘多項(xiàng)式1.3x^24xy5y^22.2a^35a^2b+2ab^26ac+14bc10c^23.5m^2+8mn3mp16n^2+28np21p^24.6x^423x^2y^2+9z^2x^210y^4+24y^2z18z^35.4a^56a^4b+2a^3b^212a^3c+18a^2bc10a^2c^215a^2b^2+30abc^2四、平方差公式1.x^2y^22.4a^29b^23.m^216n^24.25p^24q^25.9x^416y^4五、完全平方公式1.x^2+4xy+4y^22.a^26ab+9b^23.m^2+8mn+16n^24.4p^220pq+25q^25.9x^4+24x^2y^2+16y^4六、綜合運(yùn)用1.5x^2+2xy13y^22.2a^22ab+2ac10b^2+10bc10c^23.m^66m^4n^2+9m^2n^44m^4p^2+12m^2n^2p^29n^4p^24.7x^614x^3y^3+9x^3z^315x^6+30x^3y^324x^3z^35.a^82a^4b^4+b^82a^8+6a^4b^44b^8七、多項(xiàng)式乘單項(xiàng)式的拓展1.10x^322x^2+6x2.3a^314a^2b+17ab^2+5b^33.6m^318m^2n+12mn^24m^3+5m^2nmn^24.6p^38p^2q+10pq^2+9q^3p6q^2p^2+4q^35.8x^3y12x^2y^2+6xy^3+10x^3y8x^2y^2+6xy^3八、